Question

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)

Answer 1

Given :

The angle of depression is 30 degrees from the bottom of the boat to a

deep sea diver a the depth of 120 ft.

To Find :

The distance x the diver must  swim up to the boat to the nearest foot.

Solution :

Let, distance between diver and boat is x.

So,

$sin\ 30^o=\dfrac{h}{x}\\\\x = \dfrac{120}{\dfrac{1}{2}}\\\\x = 240 \ ft$

Therefore, distance the diver must  swim up to the boat to the nearest foot is 240 foot.

Hence, this is the required solution.