A ramp leading to the freeway overpass is 210 feet long and rises 31 feet. what is the measure of the angle formed between the ramp and the freeway?

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02-09-2017
Physics

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A ramp leading to the freeway overpass is 210 feet long and rises 31 feet. what is the measure of the angle formed between the ramp and the freeway?

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Erythrosin17 Erythrosin17 · Answer 1 · 2017-09-12T12:03:55+02:00

Erythrosin17 Erythrosin17

12-09-2017

When you draw the figure described in the problem, you will see a right triangle where the hypotenuse is the length of the ramp which is 210 feet and the height is 31 feet. To determine the angle formed between the ramp and the freeway, we use a trigonometric function which would be the sine function. We do as follows:

sin (α) = height / hypotenuse
sin (α) = 31 / 210
α = 8.49 degrees

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