Question

Juaquin is building a bike ramp with blocks and a piece of plywood. He stacks two blocks, each measuring 1 foot in height, on top of one other. He then places the plywood, which is 4 feet long, on an angle from the top of the blocks to the ground. Using the inverse of sine function, what is the angle of elevation formed where the plywood rests on the ground? Round your answer to the nearest whole degree. _.

Answer 1

Let θ be the angle of elevation. The opposite side is 2 ft and the hypotenuse is 4 ft, so

sin θ = 2/4 = 1/2.

θ = arcsin(1/2) = 30°.

Answer: 30°.