For this case we can model the problem as a rectangle triangle.
We have the angle between the base and the hypotenuse of the triangle.
We have the height of the triangle.
We want to calculate the base of the triangle.
For this, we use the following trigonometric relationship:
Clearing x we have:
Answer:
the shortest horizontal distance that the ramp can span is:
x = 24.02 feet
We have the angle between the base and the hypotenuse of the triangle.
We have the height of the triangle.
We want to calculate the base of the triangle.
For this, we use the following trigonometric relationship:
Clearing x we have:
Answer:
the shortest horizontal distance that the ramp can span is:
x = 24.02 feet