Question

a foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground.if the ladder is shifted in such a way that its feet is 8m away from the wall,to what height does its top reaches
write full explanation
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Answer 1

Step by step explanation :-

Given: AC=8 m and BC=6 m

Using the Pythagoras theorem, we get

(AB)

2

=(AC)

2

+(BC)

2

⇒(AB)

2

=(8)

2

+(6)

2

⇒(AB)

2

=64+36

⇒(AB)

2

=100

⇒(AB)=

1

00

⇒AB=10

∴ Length of the ladder =10 m

When the ladder is shifted:

Let the height of the ladder after it is shifted be H m.

By using the Pythagoras theorem, we can find the height of the ladder after it is shifted.

8

2

+H

2

=10

2

⇒H

2

=10

2

−8

2

⇒H

2

=100−64

⇒H

2

=36

⇒H=

3

6

⇒H=6

Thus, the height of the ladder is 6 m.

I hope it helped u...