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

Question

IgorC [24]

3 years ago

10

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

Mathematics

1 answer:

bulgar [2K] · Answer 1 · 2021-12-10T08:06:20+03:00

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.