You your dad build a dog house for your dog. you tell him that it would be easy to build a dog house in the shape of a tent. the slanted sides are 5 feet long and the bottom of the house is 8 feet across. you draw him the following illustration to him find the height of the dog house. what do you tell him the height of the dog house is?

3 feet tall
If it is in the shape of a tent and the floor is 8 feet across half of it cut down the middle would be 4 ft, you create a right triangle and can use the Pythagorean theorem to solve for the height. 5 is the hypotenuse and 4 is a leg.
a^2 + b^2 = c^2
Plug in  the values known
4^2 +b^2 = 5^2
simplify
16+b^2=25
subtract 16 from both sides
b^2=9
take the square root of both sides
b=3 the hight is 3 ft

Do you mean conversion factor?