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11 May, 00:59

A lighthouse is 15m above sea level.

The lighthouse operator sights a boat at an angle of depression of 25 degrees.

How far is the boat from the lighthouse?

Round your answer to the nearest tenth.

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  1. 11 May, 01:10
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    For this you will use the tangent function. You have the adjacent side and have to find the opposite side.

    tan x = opposite/adjacent

    tan 25 = x/15

    15 (tan 25) = x

    6.9946 = x

    So the boat is approximately 6.9946 m away from the lighthouse.
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