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