For this case, we have to form a rectangular triangle. Where the hypotenuse is 45 feet and the base of the triangle is 27 feet. We must find the height.
By the Pythagorean theorem, we have that the height is given by:
[tex]h = \sqrt {H ^ 2-b ^ 2}[/tex]
Where:
h: Height
H: Hypotenuse
b: Base
Summarizing the values:
[tex]h = \sqrt {45 ^ 2-27 ^ 2}\\h = \sqrt {2025-729}\\h = \sqrt {1296}\\h = 36[/tex]
Thus, the height is 36 feet.
Answer:
36 feet.
