Question

The height at the top of a roller coaster hill is $10$ times the height $h$ of the starting point. The height decreases $100$ feet from the top to the bottom of the hill. The height at the bottom of the hill is $-10$ feet. Find $h$ .

Answer 1

h = 9 feet.

Explanation:

The height at the top of a roller coaster hill is 10 times the height h feet of the starting point. The height decreases 100 feet from the top to the bottom of the hill. The height at the bottom of the hill is -10 feet.

Therefore, there is a zero elevation point between the starting point at h height and the bottom of the hill which is at - 10 feet from the zero elevation point.

Now, the elevation of the top of the hill from the zero elevation point is (100 - 10) = 90 feet.

Therefore, 10h = 90

⇒ h = 9 feet. (Answer)