Question

English

V
:
A car is traveling up a steep ramp to a parking garage.
The ramp is 445 feet long and rises a vertical distance
of 80 feet. What is the angle of elevation from the car
to the end of the ramp? Round to the nearest degree.
10°
18
445 ft
__$45 A
80 ft
804
80°
) Intro
Done

Answer 1

10°

Explanation:

In a right triangle, the ratio of the side opposite an acute angle to the hypotenuse is the sine of the angle. Here, that ratio is 80/445, so we have ...

sin(angle of elevation) = 80/445

Using the inverse sine function we can find the angle that has this sine value.

angle of elevation = arcsin(80/445) ≈ 10.36°

The angle of elevation is about 10°.