Question

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

Answer 1

11.6 foot

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.