s229333
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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

Respuesta :

Answer:

  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°.

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