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Elliot 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 degree, and the escalator is 16 feet long. How far the top of the escalator from the ground floor? Round your answer to the nearest foot.

A. 41 feet
B. 17 feet
C. 12 feet
D. 11 feet

Respuesta :

Answer:

The answer is 11

Step-by-step explanation:

The top of the escalator from the ground is 12 feet.

Here, The angle of depression from the top of the escalator to the floor is 42.51 degree, and the escalator is 16 feet long.

As per the image, ∠BAC = 42.51° and AC = 16 feet.

Therefore, Cos ∠BAC =  [tex]\frac{AB}{AC}[/tex]

⇒ AB = AC × Cos ∠BAC = 16 × Cos 42.51° = 16 × 0.737 feet = 11.792 feet ≈ 12 feet.

Learn more about the angle of depression here: https://brainly.com/question/13514202

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