The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 15 ft tall. The distance from the front of the house to the support post is less than the distance from the post to the back of the house. How far from the front of the house is the support post positioned?

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.    

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb