Question

A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with the ground, X, to the nearest degree?

Answer 1

8.5 is opp of the angle and 14.5 is the hypotenuse.
Sin(X) = opp/hyp
or you can use Sin-1(opp/hyp) = X
Sin-1(8.5/14.5)=X
X= 35.8 or 36 rounded 

Answer 2

I think X would equal 35.8