Question

The angle of elevation from the bottom of a scenic gondola ride to the top of a mountian is 31 degrees. If the verticale distance from the bottom to the top of the mountain is 902 feet and the gondola moves at a speed of 155 feet per min, how long does the ride last? round to the nearest minute.

A. 14 min
B. 10 min
C. 6 min
D. 11 min

Answer 1

you need to calculate the length of the hypotenuse to know how far the gondola ride travels first

so divide the height by the sin of the angle 902/sin(31) = 1751.33 feet

now divide that by the speed

1751.33/155 = 11.298, so approximately 11 minutes