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. the answer is not 37 or 38
To find the angle formed where the rope is fastened to the ground, we can use the inverse sine function.
Let’s consider the right-angled triangle formed by the pole, the rope, and the ground. The length of the rope is the hypotenuse of the triangle, and the height of the pole is the opposite side.
By using the inverse sine function, we have:
sin(θ) = opposite/hypotenuse
sin(θ) = 5/8
θ = sin^(-1)(5/8)
θ ≈ 36.87 degrees
Thus, the angle formed where the rope is fastened to the ground is approximately 36.87 degrees.