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A bug on Easter Island stands on level ground by a Moai statue. The statue is 13 feet tall. The bug’s sightline to the top of the statue makes an angle of 35°. How far away from the statue is the bug? Round your answer to the nearest tenth of a foot.
A bug is shown on level ground a distance of x to the left of the base of a statue.
▶Click for Long Desc
(1 point)
The bug is 1
feet from the statue.
A bug is shown on level ground a distance of x to the left of the base of a statue.
▶Click for Long Desc
(1 point)
The bug is 1
feet from the statue.
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Answered by
GPT-5 mini
Let x be the distance from the bug to the statue. Using tangent,
tan(35°) = opposite/adjacent = 13/x, so x = 13 / tan(35°).
x ≈ 13 / 0.7002 ≈ 18.6 feet (to the nearest tenth).
tan(35°) = opposite/adjacent = 13/x, so x = 13 / tan(35°).
x ≈ 13 / 0.7002 ≈ 18.6 feet (to the nearest tenth).
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