Q6. A vertical flag pole is attached to the top edge of a building. A man stands 40m from the base of the building. From his view point, the angle of elevation to the bottom of the flag pole is 30°; to the top of the flag pole is 65°. Determine the height of the flag pole if the man is 1m tall. Draw diagram before working out
Answers
the height of the flag pole is approximately 57.18 meters.
How to find?
We can see that triangle ABC and triangle ACD are right triangles.
Let's first find the height of the building BC using the right triangle ABC:
tan 30° = BC/40
BC = 40 tan 30°
BC = 20√3
BC ≈ 34.64 m
Now, we can find the height of the flag pole CD using the right triangle ACD:
tan 65° = CD/BC
CD = BC tan 65°
CD = (20√3) tan 65°
CD ≈ 56.18 m
Finally, we can find the total height of the flag pole by adding the height of the man (1 m):
total height = CD + 1
total height ≈ 57.18 m
Therefore, the height of the flag pole is approximately 57.18 meters.
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Related Questions
are they inverse ? please hurry
Answers
Answer:
no
Step-by-step explanation:
What is f(4) for the function f(x)= 6x+7?
Answers
Answer:
31
Step-by-step explanation:
f(4) = 6x4 + 7
= 24 + 7
= 31
I HAVE USE PROBLE SOVING STRATEGY WHEN ANSWER AND THE CHECK MY ANSWER USING ANOTHER WAY 10 - 4.65 =
Answers
Step-by-step explanation:
Sure, I can help you with that problem-solving strategy and check your answer using another method.
One problem-solving strategy that can be used to solve this problem is subtraction. To subtract 4.65 from 10, you can line up the decimal points and subtract each digit in turn, borrowing as necessary:
10.00
- 4.65
--------
5.35
Therefore, 10 - 4.65 = 5.35.
To check your answer using another method, you can use addition. If you add 4.65 to 5.35, you should get 10:
5.35
+ 4.65
-------
10.00
Since the result is 10, which is the same as the original number you started with, this confirms that your answer of 5.35 is correct.
Answer:
5.35
Step-by-step explanation:
use a calculator
Which is an appropriate estimate
for the following?
3,844 / 75
A. 480
B. 1,000
C. 40
D. 4
Answers
Answer:
40
Step-by-step explanation:
This answer is the closest when it comes to 3,844 divided by 75.
Answer:
its 4
Step-by-step explanation:
because i did it
need help with asap!!!!!
Answers
Answer:
it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)
In the equation f(x)= 5(x+3)^2-10 what effect does the 5 do when compared to the parent function?
A. Vertical compress by a factor of 5
B. Vertical shift up 5 units
C. Reflect over x-axis
D. Vertical stretch by a factor of 5
Answers
Answer:
The correct answer is A. Vertical compress by a factor of 5
Step-by-step explanation:
When graphed without the 5, the curve is very wide, but when the 5 is added, the curve compresses and narrows itself, therefore a vertical compress occurs by the factor of 5.
Answer:
it's B l did this in class
Multiplying by which number is equivalent to finding 111%?
Answers
Answer:
1.11
Step-by-step explanation:
100 x 1.11
becuase 1.11 is the multiplier
please answer with equations will give 25 points and mark brainliest.
Which is greater 1/2 of 6/7 or 2/3 of 3/7?
Answers
Answer:
1/2 of 6/7 is greater than 2/3 of 3/7
Step-by-step explanation:
6/7 x 1/2 = 6/14 = 3/7
3/7 x 2/3 = 6/21 = 2/7
2/7 < 3/7
1/2 of 6/7 is greater than 2/3 of 3/7
Answer:
1/2
Step-by-step explanation:
The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in milimeters of mercury, is related to the heighth (in kilometers) above sea level by the formula p = 760 -0.145
(a) Find the height of an aircraft if the atmospheric pressure is 246 millimeters of mercury
Answers
Answer:
\(h = 3544.83km\)
Step-by-step explanation:
Given
\(P= 760 - 0.145h\)
Required
Find h when P = 246
Substitute 246 for P
\(246= 760 - 0.145h\)
Collect like terms
\(246- 760 = - 0.145h\)
\(-514= - 0.145h\)
Make h the subject
\(h = \frac{-514}{-0.145}\)
\(h = 3544.83km\)
perpendicular to 8x - 2y = 5.
Answers
Step-by-step explanation:
First consider the given line 8x = 2y - 5. This can be rewritten as
2y = 8x + 5
y = (8x + 5)/2 = 4x + 2.5
The line is y = 4x + 2.5. This is of the form y = mx + b.
On comparing, we see that the slope of the given line is m = 4
Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.
We know that for two lines to be perpendicular, the product of the slopes = -1
So, m * m' = -1
4 * m' = -1
m' = -1/4
Answer: Slope of the perpendicular line is -1/4.
Subtract: ─ 32 ─ 128
Answers
Answer:
-160 is the answer
Step-by-step explanation:
- × - = +
+ × + = +
so,-32-128
=-160
pls answer i need this ill give you 20 pts
Answers
Answer:
6240 + 5t ≤ 8000
Step-by-step explanation:
In a hardware store you must first go to server 1 to get your goods and then go to a server 2 to pay for them. Suppose that the times for the two activities are exponentially distributed with means six and three minutes. Compute the average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2.
Answers
The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.
Let us assume that, T = the total amount of time Bob spends in the hardware store.
Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1
Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1
Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods
Let us assume that, T4 = the amount of time it takes for Bob to pay server 2 for his goods
So, the value of total time T will be
T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]
Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution
E[T2] = 6 min.
To find E[T3], the condition on the availability of server 2 after Bob is done with server 1
So, the value of E[T3] will be
E[T3] = E[T3 | Server 2 is free] P(Server 2 is free) + E[T3 | Server 2 is not free] P(Server 2 is not free)
= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)
\($$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$\)= 3(1/3) = 1 min. and E[T4] = 3 min.
So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]
or, E[T] = 6+6+1+3= 16 minutes
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Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −7x2 + 26x + 3 and y = −6x2 + 23x + 5, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
a. 2.0 seconds
b. 2.25 seconds
c. 2.5 seconds
d. 2.75 seconds
Answers
Answer:
The answer is C
Step-by-step explanation:
C
Select the correct answer.
A linear function on a coordinate plane passes through (minus 3, 2), (0, 4), and (3, 6)
Which equation describes the line graphed above?
A.
y
=
3
2
x
−
6
B.
y
=
2
3
x
−
6
C.
y
=
3
2
x
+
4
D.
y
=
2
3
x
+
4
Answers
\(answer: \large\boxed{=\frac{2}{3} x+4}\)
Step-by-step explanation:
(-3, 2) and (0, 4) and (3, 6)
Since the function is linear, if it passes through two coordinates, it has to pass through the third
Lets find the slope using:
\(\frac{y_2-y_1}{x_2-x_1}\)
Lets use (-3, 2) and (0, 4)
4-2/0-(-3) = 2/3
Therefore m = 2/3
Point slope form:
\(y-y_1=m(x-x_1)\)
using (0, 4)
y - 4 = 2/3 ( x - 0)
The equation is
\(\large\boxed{=\frac{2}{3} x+4}\)
The vertices of a quadrilateral are listed below.
Answers
The strongest classification of the quadrilateral with the given vertices is rhombus.
The vertices of the quadrilateral is given as,
E(5, 4), F(9, 2), G(5, 0) and H(1, 2).
Find the adjacent sides EF and FG whether they are equal.
Using the distance formula,
EF = √(9 - 5)² + (2 - 4)² = √(16 + 4) = √20
FG = √(5 - 9)² + (0 - 2)² = √(16 + 4) = √20
Adjacent sides are equal.
So they are either square or rhombus.
Find the lengths of the diagonals whether they are equal.
EG = √(5 - 5)² + (0 - 4)² = √(0 + 16) = 4
FH = √(1 - 9)² + (2 - 2)² = √(64 + 0) = 8
Diagonals are not equal.
So it is a rhombus.
Hence the quadrilateral is a rhombus.
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TowanA
Answer
Worked Example 7(a)
k is a non-zero whole number.
Given that 6 x 54 xk is a perfect cube.
write down the smallest value of k.
Answers
So cube root of 21,952 will be 28
What is a non-zero whole number?
Non zero whole number is a quantity which does not equal zero and number without fractions. Any number that is not zero is referred to as a nonzero number.
Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number
We need to find the prime factors of 112 by using prime factorization
So the factors are 2 x 2 x 2 x 2 x 7
Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square.
So 112 x 7 = 784 = 2 x 2 x 7 = 28
So √784 = 28
Similarly 28 should be multiplied to 784 to make it a perfect cube.
So 784 x 28 = 21,952
So cube root of 21,952 will be 28
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help or you will become a squirrel next morning.
No links or cashies.
Answers
Answer:
A B C have the same pattern and D does not
Step-by-step explanation:
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answers
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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If the data in the stem-and-leaf graph below were shown in a line plot, which statement’s would be true of the line plot? Please help I will give Brainly!!!
Answers
Answer:
1) THE TOTAL NUMBER OF MARKS TELLS YOU THE SIZE OF THE DATA SET.
2)hISTOGRAM
:)
Step-by-step explanation:
Martin wants to buy a new bedroom set that cost $1590 including tax. Unfortunately he doesn’t have $1590 so he secures a 2 year loan from the furniture store at 9% interest to be repaid in 254 equal monthly installments. Find the monthly payment
Answers
The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:
Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Here,
Loan Amount = $1590
Interest Rate = 9% per annum
Time = 2 years = 24 months
number of Months = 254 (as there are 254 monthly installments)
First, we need to calculate the Monthly Interest Rate using the following formula:
Monthly Interest Rate = Annual Interest Rate / 12
The Annual Interest Rate is 9%,
so the Monthly Interest Rate is: Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,
we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)
Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.
A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.
B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.
C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.
D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.
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3/4 of a peice of metal has a mass of 15kg. What is the mass of 2/5 of the peice of metal?
Answers
Answer:
Step-by-step explanation:
Let total mass be x
(3/4)*x=15
on solving
x=20
now,
mass of 2/5 of piece of metal is-
=> (2/5)*20
=> 8
Ans- 8kg
g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answers
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
\(bit.^{}ly/3dXyuz8\)
I’ll give brainliest! Please help
Answers
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
Identify the cross section that results from slicing the three-dimensional figure.
A)
prism
B)
rectangle
square
D
triangle
answer is b
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i thing bbbbbbbbbbbbb
ILL GIVE BRAINLIST PLS HELP!!
Answers
The probability that a randomly selected point within the circle falls in the red-shaded circle will be 0.25.
The area of the red circle is given as,
a = π × 4²
a = 16π
The area of the big circle is given as,
A = π × 8²
A = 64π
The probability is given as,
P = (Favorable event) / (Total event)
The probability is calculated as,
P = a/A
P = 16π / 64π
P = 0.25
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Janet needed 2.7 meters of thread to finish a pillow she was
making. If she has 4 times as much thread as she needs,
what is the length of the thread she has?
Answers
Abigail is using her mother's pancake recipe, but she wants to make 60% more pancakes than the recipe usually prepares. If her mother's recipe calls for 1/2 cup of flour, how much flour will Abigail need to use?
Which 1 is it ?
1 1/10 cups
1 3/5 cups
4/5 cup
3 1/0 cup
Answers
Answer:
C- 4/5 cups
Step-by-step explanation:
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O
Answers
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan