Question

A ladder that is 20ft. Long is leaning against the side of a building . If the angle formed between the ladder and the ground is 75

Answer 1

distance between the base of the ladder from the bottom of the building = 5.18ft

Height of the building = 19.32ft

Explanation:

The distance between the base of the ladder from the bottom of the building and the height of the building is given by

d = Lcosx

h = Lsinx

Where L is the length of the ladder, d is the distance between the base of the ladder and the bottom of the building, h is the height of the building and x is the angle between the ladder and the ground.

Given; x= 75° L = 20ft

d = 20cos75 = 5.18ft

h = 20sin75 = 19.32ft