Answer:
sin(70°) =10/x
The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet
Step-by-step 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
