A ladder is resting against an outside wall of a building. The ladder is extended 23 feet, and reaches a distance of 17 feet up the wall. Using the inverse of sine, what is the angle of elevation formed where the base of the ladder rests on the ground? Round your answer to the nearest whole degree.(1 point)
≈
°
The angle of elevation can be found by taking the inverse sine of the opposite side (17 feet) over the hypotenuse (23 feet).
sin(angle) = opposite/hypotenuse
angle = sin^(-1)(17/23) = sin^(-1)(0.7391) ≈ 47 degrees
Therefore, the angle of elevation formed where the base of the ladder rests on the ground is approximately 47 degrees.