The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 26. If the vertical distance from the bottom to the top the mountain is 725 feet and the gondola moves at a speed of 180 feet per minute how long does the ride last?

Question

Brisa Donaldson

Mathematics

31 March, 18:43

The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 26. If the vertical distance from the bottom to the top the mountain is 725 feet and the gondola moves at a speed of 180 feet per minute how long does the ride last?

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Answers (1)

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Makai Beard · Answer 1

X - length of the ride

x = 725 : sin 26° = 725 : 0.4384

x = 1653.74 feet

v = 180 feet/min

t = x/v = 1653.74 feet : 180 feet / min = 9.3 min

Answer : The ride last 9 minutes and 18 seconds.