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?

Answer 1

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.

Answer 2

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?

Answer 3

No - you should have done 1808/.4257 and get 4246.33.

Answer 4

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?

Answer 5

You know that it is a right triangle and so you already have two angles. So you would find the last (90-25.2) and use the trig functions to find the answer on that missing angle.