if you walk a certain distance from the tree and measure the angle of of elevation to the top of the tree to be 40 degrees, you are 381 feet away from the base of the tree.
To determine the distance from the base of the tree, we can use the tangent function.
Let the distance from the tree be represented by x
Using the tangent function:
tan(θ) = h/x
Substituting the given values:
tan(40°) = 320/x
To solve for x:
x = 320/tan(40°)
x = 320/0.8391
x ≈ 381 feet
Therefore, if you walk approximately 381 feet away from the base of the giant redwood tree and measure the angle of elevation to the top of the tree to be 40 degrees, you are 381 feet away from the base of the tree.