Roger fastens a rope to the ground that extends from a pole that has been placed in the ground. The rope is 8 feet long, and the pole is 5 feet tall. Using the inverse of sine, what is the angle formed where the rope is fastened to the ground? Round your answer to the nearest whole degree.(1 point)
≈
°
Incorrect
The inverse sine function is used to find an unknown angle using the formula sin−1(oppositehypotenus)=θ corresponding to the unknown angle.
In this case, the opposite side is the height of the pole (5 feet) and the hypotenuse is the length of the rope (8 feet).
Therefore, sin^-1(5/8) = θ
θ ≈ 38 degrees
So, the angle formed where the rope is fastened to the ground is approximately 38 degrees.