A 25ft ladder is leaning up against a
wall. If the ladder makes a 63° with
the ground, how far is the base of the
ladder from the wall?

Step-by-step explanation:

A

C H

Cos(23)×25 = 23.0126

The distance of the base of the ladder from the wall is 23.01 ft

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are solving from how far the base of the ladder from the wall and we are representing it as x.

Based on the type of triangle, we are going to use Trigonometry ratios.

We are going to use the cos ratio.

Let opposite be x, base be 25 and theta (angle) be 23.

Cos(23) = x/ 25

Make x the subject;

x = Cos(23)×25

x = 23.0126 ft

Therefore the distance  is 23.01 ft

Learn more about trigonometric;

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