A portion of a hiking trail slopes upward at about a 6 degree angle. To the nearest tenth of a foot, what is the value of x, the hiker's change in vertical position, if he has traveled a horizontal distance of 120 feet?

Question

Mathematics

Kaylin Walker

18 October, 19:32

A portion of a hiking trail slopes upward at about a 6 degree angle. To the nearest tenth of a foot, what is the value of x, the hiker's change in vertical position, if he has traveled a horizontal distance of 120 feet?

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Answers (1)

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Henry Morris · Answer 1

The vertical distance will be given by:

sin θ=opposite/hypotenuse

but

θ=6°

opposite=x

hypotenuse=120 ft

thus

sin 6=x/120

x=120 sin 6

x=12.54 ft

thus the hiker's change of position is 12.54 ft