HELP! what is the formula if...?

Question

IF there is a 30 foot ramp leaning against a wall and the ramp forms a 32 degree angle with the ground. and i have to find how high above the ground is the top of a ramp????

thanks soooo much

Answer 1

Use the definition of sine (opp/hyp):

sin 32° = height /30.  Solving makes height = 30 sin 32° ≈ 15.8976 ft.

Answer 2

you have the hypotenuse and you need a side given an angle...

you are looking for the side opposite the angle.

SOH CAH TOA

Sin(32) = Opposite / 30 ft

Opposite = 30 * sin(32) = 15.8976 ft