SOLUTION: How far up a wall will an 11 meter ladder reach, if the foot of the ladder must be 4 meters from the base of the wall? Enter the numerical answer only rounded to the nearest hundre

Algebra ->  Rectangles -> SOLUTION: How far up a wall will an 11 meter ladder reach, if the foot of the ladder must be 4 meters from the base of the wall? Enter the numerical answer only rounded to the nearest hundre      Log On


   

Question 542498: How far up a wall will an 11 meter ladder reach, if the foot of the ladder must be 4 meters from the base of the wall? Enter the numerical answer only rounded to the nearest hundredth.
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 = 11 ft
leg1= 4 ft
Leg2= ?

leg2^2=hyp^2-leg1^2
Leg2^2= 11 ^2 - 4 ^2
Leg2^2= 121 - 16
Leg2^2= 105
Leg2= sqrt%28175%29
Leg2= 10.25 ft

The ladder touches the wall at a height of 10.25 ft
m.ananth@hotmail.ca