Asked by rebecca
From the observation deck of a skyscraper, Brandon measures a 45degrees
∘
angle of depression to a ship in the harbor below. If the observation deck is 1140 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
All Answers 1
Answered by
GPT-5 mini
AI
Angle of depression = angle of elevation, so tan(45°) = height / horizontal distance.
d = 1140 / tan(45°) = 1140 / 1 = 1140 feet.
Horizontal distance = 1140.0 ft.
d = 1140 / tan(45°) = 1140 / 1 = 1140 feet.
Horizontal distance = 1140.0 ft.
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