How do i solve this problem???

A steel ladder 40 ft long leans againts the wall of the house. find the height it reaches the house if its base is 12 ft from the wall of the house??

1 Answer
Mar 13, 2018

This is a pythagoras problem. We know the hypotenuse (the ladder) and we know that distance from the house at the base (one of the legs).

#a^2 + b^2 = c^2#

#12^2 + b^2 = 40^2#

#b^2 = 1456#

#b ~~ 38#

Therefore, the house is #38# feet tall.

Hopefully this helps!