English

V

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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

10°

Step-by-step 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°.