Question

Michela’s skateboard ramp is at an incline of 40°. When she attempts a trick on the ramp, she finds that it is too steep. She adjusts the ramp to half of the original incline. What is the measurement of the incline now?

Answer 1

22.7604763 degrees

Explanation:

Note that the answer is NOT 20 degrees.

She adjusted the ramp to half the original incline

Therefore we have tan 40 = x = 0.839099631.

We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815

Taking the arctan of both sides, we get

y = arctan(0.419549815) = 22.7604763 degrees