Question

The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft tall. How far from the front of the house is the support post positioned?

Answer 1

The support post positioned 23 feet far from the front of the house

Explanation:

According to Pythagoras Theorem

(Hypotenuse)² = (Base)² + ( Perpendicular)²

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² - ( Perpendicular)²

Taking under root on both sides

Base = √(Hypotenuse)² - ( Perpendicular)²

Base = √ (625 - 100)

Base = √525

Base = 23 feet