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?
To find the angle between the ladder and the tree, we need to use the opposite and the hypotenuse. The opposite side is the height of the tree, which is 15 feet, and the hypotenuse is the length of the ladder, which is 15 feet. Therefore, we can use the formula sin(angle) = opposite/hypotenuse. Substituting the values, we have sin(angle) = 15/15 = 1. Now we can use the inverse sine function (sin^-1) to find the angle. sin^-1(1) is equal to 90°. Therefore, the approximate angle between the ladder and the tree is 90°. The correct answer is 90°, so the fourth option is correct.
