Amanda wants to shorten the wheelchair ramp at her front door. The current

Question

ramp is 13 feet along the horizontal and the step is 9 inches high. If she doubles
the measure of the angle that the ramp makes with the walkway, how long will the new ramp be to the nearest inch?

Answer 1

Right now, rise/run = 9/156
so tanØ = 9/156
Ø = 3.302°

So she wants the angle to be 6.604°
Then, assuming the rise will remain the same,
tan 6.604° = 9/length
length = 9/tan6.604 = 77.7 inches or
78 inches