Type the correct answer in the box. Round your answer to the nearest hundredth.

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.

Scarlett's height is 1.65 meters, so the height of the dam is meters.

Question

Raymond Duncan

Biology

21 March, 16:19

Type the correct answer in the box. Round your answer to the nearest hundredth.

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.

Scarlett's height is 1.65 meters, so the height of the dam is meters.

+4

Answers (1)

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Andy Mays · Answer 1

The height of a dam:

h = x + 1.65 m,

x = 90 m · tan 26°

x = 90 · 0.4877

x = 43.90

h = 43.90 m + 1.65 m = 45.55 m

The height of the dam is 45.5 m.