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

Answer:

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

Step-by-step explanation:

Given data

AB = 50 ft = length of the building

BC = 6 ft

$\theta$ = Angle between the ladder & building

From Δ ABC

$\sin \theta = \frac{BC}{AB}$

$\sin \theta= \frac{6}{50}$

$\theta =$ 6.9°

This is the angle between the building and the ladder.