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.

Question

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.

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Answer

$x \approx 403.4$

Steps

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

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

Step 3 ： $x \approx 403.4$

Accepted Answer

Step:1 ：( tan{15^{circ}} = frac{113}{x} )Step:2 ：( x = frac{113}{tan{15^{circ}}} )Step:3 ：( x approx 403.4 )

Answer

Step: 1 ：( tan{15^{circ}} = frac{113}{x} )Step: 2 ：( x = frac{113}{tan{15^{circ}}} )Step: 3 ：( x approx 403.4 )