Answer: she is 35.3 feet from the tree.
Step-by-step explanation:
Assuming her line of sight to the top of the tree is a straight line, then a right angle triangle is formed. The height of the tree, h represents the opposite side of the right angle triangle. Her distance, h from the tree represents the adjacent side of the right angle triangle. To determine h, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 27 = 18/h
h = 18/tan27 = 18/0.51
h = 35.3 feet
