For this case what we must do is find the height of the tree.
For this we use the Pythagorean theorem in the following way:
a ^ 2 + b ^ 2 = c ^ 2
Where,
a: height of the tree
b: base of the triangle (length of the shadow)
c: hypotenuse (The distance from the top of the tree to the furthest tip of the shadow).
Substituting we have:
a ^ 2 + (40) ^ 2 = (60) ^ 2
Clearing to have:
a = root ((60) ^ 2 - (40) ^ 2)
a = 44.72135955
a = 44.7 feet
Answer:
The height of the tree is:
a = 44.7 feet
