Question

A construction company is building an above-ground parking garage. From one end of the entrance ramp to the other, the rise is 10 feet and the run is 24 feet. A car cannot climb a ramp that has a slope with an absolute value of more than 0.55. Find the slope of the ramp in decimal form and round to the nearest hundredth. Can cars climb the ramp?

Answer 1

The ramp is simply a right triangle when viewed from the side. The rise is the height of the triangle and the run is the length or base. The slope of the ramp is the angle that the ramp makes with the ground. Plug those values into the formula for tanФ = opposite/adjacent or rise/run and solve for Ф. You should end up with 0.23