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

Answer:

x = 240 feet

Step-by-step 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 :

$\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}$

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