Question

Ella is standing on the ground, looking up toward the top of a tower. Her eye level is 5.5
feet above the ground, and her sightline forms a 21°
degree angle while looking at the top of the tower. The direct distance from her eyes to the top of the tower is 46 feet.

Which of the following correctly uses the sine ratio to find the height of the tower?

(1 point)
Responses

22.0
feet
22 point 0 feet

128.4
feet
128 point 4 feet

42.9
feet
42 point 9 feet

16.5
feet
16 point 5 feet
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Answer 1

Use sin(21°) = (top height − eye level) / 46. So top height = 5.5 + 46·sin(21°) ≈ 5.5 + 16.49 ≈ 22.0 feet. Thus 22.0 feet.