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, 7°. 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.

Respuesta :

Answer: 920.3 ft

Step-by-step explanation:

[tex]\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}[/tex]

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