10-08-2017
Mathematics

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From the top of a 300-ft lighthouse, the angle of depression to a ship in the ocean is 25°. How far is the ship from the base of the lighthouse?

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16-08-2017

Refer to the diagram shown below.

Let d = distance of the ship from the base of the lighthouse.

By definition,
tan(25°) = 300/d
d = 300/tan(25°) = 643.35 ft

Answer: The distance is 643.4 ft (nearest tenth)

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