Question

A 50-foot ladder leans against a building. If the base of the ladder is 6 feet from the base of the building, what is the angle formed by the ladder and the building?

Answer 1

The angle between the building and the ladder
`\theta =` 6.9°

Explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

`\theta` = Angle between the ladder & building

From Δ ABC

`\sin \theta = (BC)/(AB)`

`\sin \theta= (6)/(50)`

`\theta =` 6.9°

This is the angle between the building and the ladder.