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An 11-ft ladder leans against the side of a house. The bottom of the ladder is 9-ft from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth

An 11ft ladder leans against the side of a house The bottom of the ladder is 9ft from the side of the house How high is the top of the ladder from the ground If class=

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Answer:

6.3 ft.

Step-by-step explanation:

This requires the pythagorean theorem: a^2+b^2=c^2 where "a" and "b" are legs and c is the hypotenuse(longest side of the triangle which is opposite to the 90 degree angle.) If we fill the equation where c is the ladder length(11) and "a" is the distance from the house(), and "b" is the height, 9^2+b^2=11^2 or 81+b^2=121. This is equivalent to b^2=40. b=6.3 when rounded to the nearest tenth.

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