Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?

Question

asked Sep 19, 2021 113k views

2 Answers

NewPersona · Answer 1 · 2021-09-25T04:48:37+0000

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Answer:

460 feet

Explanation:

The tangent relates the measures to the angle:

tan(angle of elevation) = (Godzilla height)/(distance away)

tan(49°) = (Godzilla height)/(400 ft)

Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft

Godzilla is 460 feet tall.