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)

Question

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Incorrect

The inverse sine function is used to find an unknown angle using the formula sin−1(oppositehypotenus)=θ corresponding to the unknown angle.

Answer 1

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.