Problem

A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water. The boat's crew measures the angle of elevation to the beacon, \( 15^{\circ} \). What is the ship's horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.

Solution

Step 1 :\( \tan{15^{\circ}} = \frac{113}{x} \)

Step 2 :\( x = \frac{113}{\tan{15^{\circ}}} \)

Step 3 :\( x \approx 403.4 \)

From Solvely APP
Source: https://solvelyapp.com/problems/8753/

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