Question

A 35 ft ladder reaches a

window that is 25 feet high. What is the angle of
elevation the ladder forms with the ground?
A. 44.4
B 54.5
C. 35
D. 45.6

Answer 1

45.6

Explanation:

The set up is right angled

Length of the ladder = Hypotenuse = 35ft

Height of window = opposite = 25ft

Using SOH CAH TOA

sin theta = opp/hyp

sin theta = 25/35

sin theta = 5/7

theta = arcsin(5/7)

theta = arcsin()0.7143)

theta = 45.6

Hence the angle of elevation is 45.6