Respuesta :

By the power of Trigonometry!

We know the angle is 22*. The height of the ramp is on the OPPOSITE side of the angle. The known length of 32 ft is the ADJACENT side of the angle.

Q: Which trig function relates OPP and ADJ?
A: It's tangent!

tan(angle) = opposite / adjacent

So, we can say that
tan(22*) = opposite / 32
32*tan(22*) = opposite

With a calculator (make sure it is in degree mode!):
32*0.404 = opposite
12.928 ft = opposite

The height is 13 ft.