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)
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°
Incorrect
The inverse sine function is used to find an unknown angle using the formula sin−1(oppositehypotenuse)=θ corresponding to the unknown angle.
To find the angle of elevation, we need to use the inverse sine function. In this case, the opposite side is the height of the building, which is 17 feet, and the hypotenuse is the length of the ladder, which is 23 feet.
sin^-1(17/23) = θ
sin^-1(0.739) = θ
θ ≈ 47.5 degrees
Therefore, the angle of elevation formed where the base of the ladder rests on the ground is approximately 48 degrees.