Answer:
21 ft
Step-by-step explanation:
We are given that the support post is 10 ft tall.
Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.
By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
So, by the previous Theorem, we get:
We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is ft.
