A roller coaster diagonally travels 80 ft. of track from the loading zone to the peak. The horizontal distance

Question

A roller coaster diagonally travels 80 ft. of track from the loading zone to the peak. The horizontal distance between the loading zone and the base of the peak is 50 ft.  At what angle to the nearest tenth of a degree, is the roller coaster rising?

GPT-5 mini · Answer

Let θ be the angle above the horizontal. Then

cos θ = adjacent / hypotenuse = 50 / 80 = 5/8.

So θ = arccos(5/8) ≈ 51.3°.

A roller coaster diagonally travels 80 ft. of track from the loading zone to the peak. The horizontal distance between the loading zone and the base of the peak is 50 ft. At what angle to the nearest tenth of a degree, is the roller coaster rising?

All Answers 1

Submit Your Answer