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 a
pproximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth
1 answer:
Answer:
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.
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