Josh was skiing down a slope where the angle of elevation was 14 degrees. The length of the slope was 1500 feet, what was the vertical drop of the slope?

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Answer 1 · 2017-12-14T16:20:14

This can be done using basic trigonometry.

answer : 362.88 feet

Take a look at the image below
enter image source here

we know that angle between ground and vertical is #90^o#.

we also know that sin of angle is opposite side to the angle/hypotenuse.

what we have : hypotenuse = 1500.
Angle = 14.

so the vertical drop is sin (14) * hypotenuse

= 0.2419 * 1500

= 362.88 feet