Question

10 points

The angle of depression is 30 degrees from the bottom of the boat to a
deep sea diver a the depth of 120 ft. Find the distance x the diver must
swim up to the boat to the nearest foot. (Round, no decimal answers
please). *
x ft
120 ft

Answer 1

x = 240 feet

Explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :

`\sin30=(120)/(x)\\\\x=(120)/(\sin30)\\\\x=240\ \text{feet}`

So, the distance the diver must swim up to the boat is 240 feet.