Question

The angle of depression is 11° from the bottom of a boat to a deep sea diver at a depth of 120 feet. Find the distance x the diver must swim up to the boat to the nearest foot.

Answer 1

Answer: 629 ft

Step-by-step explanation:

$\sin 11^{\circ}=\frac{120}{x} \\ \\ x(\sin 11^{\circ})=120 \\ \\ x=\frac{120}{\sin 11^{\circ}}\approx \boxed{629}$