SOLUTION: A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. Approximately how long is the ladder from the ground to the roof of the house?

Question 544918: A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. Approximately how long is the ladder from the ground to the roof of the house?
Answer by mananth(16946) (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
One leg 35 ft
Second leg 25 ft
Hypotenuse x ft
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2

x ^2 = 1225 + 625
x ^2 = 1850

x= 43 ft length of ladder

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