SOLUTION: how long is a ramp that is 84 ft high and has a 20 degree rise in elvation

Question 368801: how long is a ramp that is 84 ft high and has a 20 degree rise in elvation
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you make a right triangle diagram of the ramp, the height is 84 feet, and you wish to find the hypotenuse. Looking at the angle of elevation, the sides in consideration are the opposite side and the hypotenuse, suggesting the sine relationship.
sin x = (opposite) / (hypotenuse)
sin 20 = 84 / length of ramp
Now solving we get
length of ramp = 84 / sin 20 = 84 /.342 = 245.6 feet
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