SOLUTION: a ladder is resting against a vertical wall its base is 1.50m from the base of the wall. when giani steps on the ladder, it falls 0.25m and its base is now 2m away from the wall. f

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Question 1134392: a ladder is resting against a vertical wall its base is 1.50m from the base of the wall. when giani steps on the ladder, it falls 0.25m and its base is now 2m away from the wall. find the length of the ladder using pythagoras theorem.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
                              VERTICAL LEG   HORIZ LEG    HYPOTENUSE

Initial Ladder, Triangle       y+0.25         1.5          h

Stepped Ladder, Triangle        y             2.0          h

system%28%28y%2B0.25%29%5E2%2B1.5%5E2=h%5E2%2Cy%5E2%2B2%5E2=h%5E2%29
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Equating the two expressions for h^2 and solving gives y=3.375.
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h=sqrt%28y%5E2%2B4%29
h=sqrt%283.375%5E2%2B4%29
approximatelyhighlight_green%283.923%29,ladder