Question

Fatima and Tia are loading a refrigerator into the back of a truck. They know they need the ramp to make a 50-degree angle with the ground to reach the truck bed, which is 42 inches from the ground. How long is the ramp?

Option #1: sin 50°=42x=55 inches


Option #2: cos 50°=42x=48 inches


Option #3: sin 42°=x42=63 inches


Option #4: cos 42°=42x=62 inches


(1 point)
The length of the ramp is Option #
.

Answer 1

Use sin 50° = opposite/hypotenuse = 42/x, so x = 42/sin 50°.
x ≈ 42/0.7660 ≈ 54.82 ≈ 55 inches.

The length of the ramp is Option #1.