SOLUTION: A forty foot ladder is set against the wall. the distance of the base of the ladder to the wall is equal to the height of the ladder. How high is the ladder on the wall?
If I
Algebra.Com
Question 559794: A forty foot ladder is set against the wall. the distance of the base of the ladder to the wall is equal to the height of the ladder. How high is the ladder on the wall?
If I was to use the theorem, my answer is 0. (40)^2-(40)^2=b^2 1600-1600=b^2
0=b^2.
On the drawing it shows a 90o angle between the ladder and the wall.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let distance of foot of ladder be x
height will also be x
ladder length = 40
The ladder ,ground and the wall form a right triangle
ground distance = leg2
height at which ladder touches
Hypotenuse = ladder length
Pythagoras theorem states that
Hypotenuse ^2= leg1^2+leg2^2
40^2=x^2+x^2
1600=2x^2
1600/2= x^2
800=x^2
take the square root
x=28.285 feet
RELATED QUESTIONS
A ladder is two feet longer than the height of a certain wall. When the top of the... (answered by ankor@dixie-net.com)
A ladder 5m long is leaning against a wall 12m high. The foot of the ladder is 4m from... (answered by checkley77,Earlsdon)
A ladder of length 16 ft is place against a wall. If the foot of the ladder is 7 ft from... (answered by reviewermath)
If a 26 ft long ladder rest against a wall. the distance from the base of the wall to... (answered by palanisamy)
a 26ft. long ladder rests against a wall. The distance from the base of the wall to the... (answered by marolstr)
26 ft long ladder rest against a wall. the distance from the base of the wall to the... (answered by azhou4)
a ladder 4m leans against to wall. If the foot of ladder is 2m to the foot it the wall,... (answered by sachi)
A 26 ft long ladder rests against a wall. The distance from the base of the wall to the... (answered by mananth)
A 15-foot ladder is leaning against a wall. If the top of the ladder is 14.5 feet up the... (answered by mananth)