Question

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° 31° 80°

Explanation:

Step1: Use sine - function formula

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{80}{445}$

Step2: Find the angle

$\theta = \sin^{- 1}(\frac{80}{445})\approx10^{\circ}$

Answer:

$10^{\circ}$