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:
[tex]tan (22) = x / 32
[/tex]
Clearing x we have:
[tex]x = 32 * tan (22)
x = 12.9 feet[/tex]
Rounding to the nearest foot:
[tex]x = 13 feet
[/tex]
Answer:
The ramp is 13 feet high
