SOLUTION: The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?

Question 549186: The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
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 =12ft
leg1=3ft
Leg2=? ?

leg2^2=hyp^2-leg1^2
Leg2^2= 12^2-3^2
Leg2^2= 144-9
Leg2^2= 135
Leg2=
Leg2= 11.62 ft ==>

The ladder touches the wall at a height of 11.62ft
m.ananth@hotmail.ca

RELATED QUESTIONS
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How (answered by ikleyn)

what is the answer to this pythagorean theoream word problem "the bottom of a ladder must (answered by Alan3354)

The bottom of a ladder must be placed 3 feet from a wall. the ladder is 10 feet long. How (answered by greenestamps)

The bottom of the ladder must be placed 3 feet from wall the ladder is 12 ft long How far (answered by Alan3354)

The bottom of a ladder must be placed 3feet from a wall the ladder is 12feet long how far (answered by zoomkaboom4,zurro123)

The bottom of a ladder must be placed three free from a wall of the latter is 12 feet... (answered by josgarithmetic)

Hello I have a word problem on the Pythagorean theorem. It says.... the bottom of a... (answered by josmiceli,LinnW)

a 15 foot ladder leaning against a building touches the wall 12 feet above the ground.... (answered by tommyt3rd,Alan3354)

A ladder leaning against a wall reaches a point 12 feet above the ground. If the bottom... (answered by Alan3354)