Question

A ladder is leaning against the top of

a building. If the ladder is 12.5 m long and
3m from the base of the building, what is
the angle of elevation from the ladder to
the top of the building?

Answer 1

Answer: Roughly 76.11 degrees

Work Shown:

Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.

Answer 2

Explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse Substitute values

Cos(theta) = 3 / 12.5 Divide

Cos(theta) = 0.24 Tale the inverse cos

theta = cos-1(0.24)

theta = 76.11 degrees