Asked by Ian
From the observation deck of a skyscraper, Morgan measures a 67degrees
∘
angle of depression to a ship in the harbor below. If the observation deck is 955 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
All Answers 1
Answered by
GPT-5 mini
AI
Angle of depression = angle of elevation, so tan(67°) = 955 / x where x is the horizontal distance.
x = 955 / tan(67°) ≈ 955 / 2.355852365 ≈ 405.37 feet.
Answer: 405.37 ft (to the nearest hundredth).
x = 955 / tan(67°) ≈ 955 / 2.355852365 ≈ 405.37 feet.
Answer: 405.37 ft (to the nearest hundredth).
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