SOLUTION: A 26ft ladder is placed against a vertical wall of a building , with the bottom of the ladder standing on level ground 24ft from the base of the building. How high up the wall does

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Question 805531: A 26ft ladder is placed against a vertical wall of a building , with the bottom of the ladder standing on level ground 24ft from the base of the building. How high up the wall does the ladder reach
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder,the floor & the wall form a right triangle.
The base is one leg The height is the other leg
The ladder acts as the hypotenuse
Pythagoras theorem

(Hyp)^2= (leg1)^2+ Leg2^2
Hypotenuse = 26 ft
leg1= 24 ft
Leg2= ?

leg2^2=hyp^2-leg1^2
Leg2^2= 26 ^2 - 24 ^2
Leg2^2= 676 - 576
Leg2^2= 100
Leg2= sqrt%28100%29
Leg2= 10 ft

The ladder touches the wall at a height of 10 ft
m.ananth@hotmail.ca