Question

Elliott is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 42.51°, and the escalator is 16 feet long. How far is the top of the escalator from the ground floor? Round your answer to the nearest foot.

41 feet
17 feet
12 feet
11 feet

Answer 1

Answer: 11

Step-by-step explanation:

$\sin 42.51^{\circ}=\frac{x}{16}\\\\x=16 \sin 42.51^{\circ} \approx 11$