Answer:
23.84 feet
Explanation:
Solving this question above, we using Trigonometric function tangent = Opposite/Adjacent
Opposite side + h = Height of the tree
We are told that:
A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 degree angle of elevation. His eyes are 5 feet above the ground.
20 feet = Adjacent side = Distance form the tree
tan 50 = (h+5)/20
Cross Multiply
h + 5 = 20 × tan50
h = 20tan50 - 5
h= 18.835071852
h =18.84
Therefore the height of the tree is calculated as:
18.84+5 feet
=23.84 feet