Question

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

Answer 1

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.