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?
58,25,32,90
To find the angle between the ladder and the tree, we need to use the inverse sine function.
Let x be the angle between the ladder and the ground.
We can set up the equation as sine(x) = opposite/hypotenuse = 8/15.
Using the inverse sine function, we have x = sin^(-1)(8/15).
Using a calculator, this gives us x ≈ 32 degrees.
Therefore, the approximate angle between the ladder and the tree is 32 degrees.