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?
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.