SOLUTION: A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope. What is the angle of the ski slope with the horizontal?

Question 1174818: A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope.
What is the angle of the ski slope with the horizontal?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope.
What is the angle of the ski slope with the horizontal?
:
Find the interior angle (A) the skier makes with the vertical
A right triangle is formed where
hypotenuse = 1200 ft
side adjacent = 700 ft
Cos(A) =
A = 54.3 degrees
Find the angle of depression (from horizontal)
90 - 54.3 = 35.7 degrees
:

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A skier drops a total of 700 vertical feet while skiing 1200 ft down the slope.
What is the angle of the ski slope with the horizontal?

Let angle that the ski slope makes with the horizontal, be A
Then we get:
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