Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

Answer 1

To find the height of the dog house at its tallest point, we can use the Pythagorean theorem.

Let the height of the dog house be h.

Using the Pythagorean theorem:
(5ft)^2 + h^2 = (6ft)^2
25 + h^2 = 36
h^2 = 36 - 25
h^2 = 11
h = √11
h ≈ 3.32 feet

Therefore, the height of Oscar's dog house at its tallest point is approximately 3.32 feet.