Question

Kingston went parasailing in the Maldives to celebrate his graduation from Stanford Medical School. He wanted to find out the length of the rope while he floats in the air. He flew 300 feet above the water. The boat driver informed him the angle of elevation from the boat to that height is typically 45.5 degrees. Enter the length, in feet, of the rope. Round the answer to the nearest whole foot.

Answer 1

The length of rope is 420 feet.

Explanation:

Kingston flew 300 feet above the water.

Perpendicular = 300 feet

The boat driver informed him the angle of elevation from the boat to that height is typically 45.5 degrees

We are supposed tho find the length of the rope i.e. Hypotenuse

`Sin \theta =(Perpendicular)/(Hypotenuse)\\Sin 45.5^(\circ) = (300)/(Hypotenuse)\\Hypotenuse = (300)/(Sin 45.5^(\circ))\\Hypotenuse = (300)/(0.7132)\\Hypotenuse = 420.63`

So,The length of rope is 420 feet.