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

The opposite side of the angle is the height of the ramp, which is 2 feet.
The hypotenuse is the length of the plywood, which is 4 feet.
Using the inverse sine function, we can find the angle of elevation formed.
sin(angle) = opposite/hypotenuse
sin(angle) = 2/4
sin(angle) = 1/2
Using the inverse sine function, we have:
angle = sin^(-1)(1/2)
Using a calculator, we find:
angle ≈ 30.96 degrees
Rounding to the nearest whole degree, the angle of elevation formed where the plywood rests on the ground is 31 degrees. Answer: \boxed{31}.