Item 10 A 12-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth

11.6 foot

Step-by-step explanation:

Length of the Ladder=12 foot

Distance of the base of the Ladder from the House=3 foot

Since the ladder leans against the wall in a slant position, it is the hypotenuse.

From Pythagoras Theorem,

Hypotenuse ²= Opposite ²+ Adjacent ²

12²=3²+x²

x²= 12²-3²=144-9=135

x=√135=11.61895003862

The Ladder reaches up to a height of 11.6 foot (to the nearest tenth) on the house.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.