Question

A man is in a boat that is floating 175 feet from the base of a 200 foot cliff. What is the angle of depression between the cliff and the boat?

Answer 1

The of depression between the cliff and the boat is 48.74 degrees.

Explanation:

We have,

Height of the cliff is 200 foot

Distance of boat from the cliff is 175 feet

It is required to find the angle of depression between the cliff and the boat.

Here, 200 foot is perpendicular distance and 175 is base.

Using trigonometry :

`\tan\theta=(P)/(B)\\\\\tan\theta=(200)/(175)\\\\\theta=\tan^(-1)(1.14)\\\\\theta=48.74^(\circ)`

So, the of depression between the cliff and the boat is 48.74 degrees.