a tourist looks out from the crown of the statue of liberty, approximately 250 ft. above ground. the tourist sees a ship coming into the harbor and measures the angle of depression as 18 degrees. Find the distance from the base of the statue to the ship to the nearest foot.

Respuesta :

Let the distance from the base of the statue to the ship be d, then
tan 18 = 250/d
d = 250 / tan 18 = 769.4

The distance from the base of the statue to the ship to the nearest foot is 769 feet.
aksnkj

The distance from the base of the statue to the ship to the nearest foot is 769 feet.

Given information:

The crown of the statue of liberty is approximately 250 ft. above ground.

The angle of depression is 18 degrees.

Use trigonometric ratios to solve for distance:

The distance from the base of the statue to the ship be x,

[tex]\begin{aligned}\tan18^\circ&=\frac{250}{x} \\x&=\dfrac{250}{\tan18^\circ} \\\\x&=769.4\\x&\approx769 \rm\;ft\end[/tex]

The distance from the base of the statue to the ship to the nearest foot is 769 feet.

For more details about trigonometric ratios, refer to the link:

https://brainly.com/question/1201366