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MAXImum [283]
3 years ago
5

From the top of a 193 foot lighthouse the angle of depression to a ship in ocean is 14° how far is the ship from the base of the

lighthouse give your answer to the nearest foot

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

774 feet.

Step-by-step explanation:

Let x represents how far the ship is from the base of the lighthouse.

We use the tangent ratio, which involves opposite over adjacent to find x.

\tan(14 \degree)  =  \frac{opposite}{adjacent}

\tan(14 \degree)  =  \frac{193}{x}

x =  \frac{193}{ \tan(14 \degree) }

x = 774.08

To the nearest whole number, the distance is 774 ft.

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