A 15-foot ladder is leaning against a tree. The base of the ladder is 8 feet away from the tree base. Using the inverse of sine, what is the approximate angle between the ladder and the tree?
25°
58°
32°
90°
The opposite side is 15 feet, and the hypotenuse is 8 feet. Using the inverse sine function, we have:
sin(angle) = opposite/hypotenuse
sin(angle) = 15/8
Taking the inverse sine of both sides, we get:
angle = arcsin(15/8)
Using a calculator, this angle is approximately 65.99 degrees.
None of the given answer choices are correct.