A loading dock ramp that is 14 feet long rises at an angle of 14.1° from the horizontal. Due to new design specifications, a longer ramp is to be used, so that the angle is reduced to 9.2°. How much farther out from the dock will that put the foot of the ramp?

Answer 1

the distance out from the dock for an angle θ is just d = 14 cosθ

So, the change in distance is just

14(cos 9.2° - cos 14.1°)

Answer 2

A loading dock ramp that is 14 feet long rises at an angle of 14.1° from the horizontal. Due to new design specifications, a longer ramp is to be used, so that the angle is reduced to 9.2°. How much farther out from the dock will that put the foot of the ramp?