Question

a skateboard ramp makes a 22 degree angle with the ground.to the nearest foot how high is the ramp if it is 32 ft. on the ground.

Answer 1

For this case we can model the problem as a rectangle triangle.
 We know:
 Angle between the base and the hypotenuse of the triangle.
 Length of the base
 We want to know:
 Triangle height
 For this, we use the following trigonometric relationship:
 $tan (22) = x / 32$
 Clearing x we have:
 $x = 32 * tan (22) x = 12.9 feet$
 Rounding to the nearest foot:
 $x = 13 feet$
 Answer:
 The ramp is 13 feet high