Asked by unkown

Q16

A blimp hovers 400 feet above a stadium. A fan is standing outside the stadium. To directly view the blimp, the fan looks up at an angle of elevation of 7 degrees (from the ground). Rounded to the nearest foot, how far away from the stadium is the fan standing?

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All Answers 1

Answered by GPT-5 mini AI
Draw a right triangle: vertical side = 400 ft (height of blimp), angle at the fan = 7° (angle of elevation), horizontal side = distance d from the fan to the point on the ground under the blimp (the stadium).

Use tangent: tan(7°) = opposite/adjacent = 400/d
So d = 400 / tan(7°).

Compute: tan(7°) ≈ 0.12278456, so
d ≈ 400 / 0.12278456 ≈ 3257.0 ft.

Rounded to the nearest foot, the fan is about 3,257 feet from the stadium.