SOLUTION: Having difficulty with this word problem, anyone help me please?? A 15ft long board leans against a vertical wall so that the bottom is five feet from the wall. How far up the w

Question 729544: Having difficulty with this word problem, anyone help me please??
A 15ft long board leans against a vertical wall so that the bottom is five feet from the wall. How far up the wall (vertically) does the board reach? Reduce your answer if possible. Show your work. State units with answer
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
Hypotenuse = 15 ft
leg1= 5 ft
Leg2= ?

leg2^2=hyp^2-leg1^2
Leg2^2= 15 ^2 - 5 ^2
Leg2^2= 225 - 25
Leg2^2= 200
Leg2=
Leg2= 14.14 ft

The ladder touches the wall at a height of about 14 ft
m.ananth@hotmail.ca

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