Question

A ladder that is 20 ft. long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75, how far is the bottom of the ladder from the base of the building?

Answer 1

Answer:

The distance of the foot of the ladder from the wall is 5.17638 ft.

Answer 2

The distance between  the bottom of the ladder and the base of the building x = 5.176 ft

Step-by-step explanation:

AC = length of ladder = 20 ft

Angle between ladder & ground = 75°

From Δ ABC

$\cos 75 = \frac{x}{20}$

⇒ $x = 20 \ cos 75$°

⇒ x = 5.176 ft

Thus the distance between  the bottom of the ladder and the base of the building x = 5.176 ft