Question

A ladder is placed against a wall of a building in such a way that the foot of the ladder is 4-5 m away from the building and height of building is 6 m. Find the length of ladder.

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Answer 1

Answer:

The ladder forms a right angled triangle with the wall and the base with length of the ladder being the length of hypotenuse of this triangle.

Hypotenuse =25 m

Base =7 m

Height =25

2

−7

2

=24 m

Now the ladder slides. In the new position, the hypotenuse of the new right angled triangle will be the same.

The top slides down by a distance 4m. Hence, the height is 24−4=20 m. Let the base slide by a distance x. Therefore, hypotenuse =25 m

Base =(7+x) m

Height =20 m

By Pythagoras Theorem, we get

25

2

−20

2

=(7+x)

2

∴(7+x)=15

Hence, x=8

Answer 2

answer

i think 10.5m

it may be not correct please excuse