Answer:
height = 28 in
Step-by-step explanation:
Using Pythagoras' identity on the lower right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let height be represented by h, then
h² + 45² = 53², that is
h² + 2025 = 2809 ( subtract 2025 from both sides )
h² = 784 ( take the square root of both sides )
h = [tex]\sqrt{784}[/tex] = 28
That is the height is 28 inches
