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?

Question

25°
58°
32°
90°

Answer 1

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.

Answer 2

if one was to be correct which would it be

Answer 3

If one of the given answer choices has to be correct, it would be 58°.