"Oscars 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 Hi
Oscars 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:
The answer to this problem is 2.65 ft.
Step-by-step explanation:
This problem is best illustrated with the photo below. Assuming that the tent is a square pyramid, the solution for this problem goes like this
Let d = diagonal of the square base
and h = height of the tent
First, let us solve for the diagonal of the base. Since the diagonal of a square is just the side multiplied by , then d =
.
Next, we can observe that the half of the diagonal and the height forms a right triangle having the slanted side as the hypotenuse. Thus, we can use the Pythagorean theorem to solve for h.
If you want to know more about Pythagorean theorem, you may visit the following links:
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