Answer: the height of the tree is
44.165 feet
Step-by-step explanation:
A right angle triangle is formed by the height of the tree, your angle of elevation and distance from the tree.
Your distance from the tree represents the adjacent side of the right angle triangle.
The height of the tree from your line of sight represents the opposite side of the right angle triangle.
To determine the height of the tree,
we would apply the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 43 = h/42
h = 42Tan43 = 42 × 0.9325
h = 39.165
The total height of the tree is
39.165 + 5 = 44.165 feet
