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From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees. How far is the ship from the base of the lighthouse?

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5 votes

Answer:

84.89 feets

Explanation:

The solution triangle attached below :

The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :

Tan θ = opposite / Adjacent

Tan 23 = d / 200

d = 200 * tan23°

d = 84.89 feets

From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean-example-1
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