Question

and what is distance jeremy jumps from the ramp to the fire escape is _______ feet (round to the nearest tenth of a foot)

Answer 1

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft