Pre Cal
posted by Kindell on .
a ski slope on a mountian has an angle of elevation of 25.2 degrees. the vertical height of the slope is 1808 feet. how long is the slope?

This is using your trig function.
sine = opposite/hypotenuse
In this problem, we are finding the hypotenuse. Think of the mountain as a right triangle.
sin(25.2) = 1808/x and you are solving for x. 
i tried doing that but my hypotenuse was smaller then my opposite... is that ok...
sin(25.2)= .4257 then i divided by 1808 to get x by itself and i got...
2.3535 E 4
wouldn't that be wrong? 
No  you should have done 1808/.4257 and get 4246.33.

We use sine = opp/hyp
Let x be the height of the slope that we are seeking.
sin(25.2 degrees) = 1808 feet/x
Multiply both sides by x and we get:
sin(25.2 degrees)(x) = 1808 feet
Next: Divide both sides by sin(25.2 degrees) to find x.
x = 1808 feet/sin(25.2 degrees)
x = ????
Can you finish?