Question

The foot of a ladder is 9 m away from a wall, and its top reaches a window 12 mabove the ground. If the ladder is shifted in a way such that its foot is now 12 m away from the wall, to what height will its top reach?​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given: Let say Wall height =AC=9 m and Distance of ladder's foot from the wall =BC=12 m

Using the Pythagoras theorem, we get

(AB)2=(AC)2+(BC)2

⇒(AB)2=(9)2+(12)2

⇒(AB)2=81+144

⇒(AB)2=100

⇒(AB)=100

⇒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 w.r.t. ground.

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

92+H2=81

⇒H2=144−81

⇒H2=100−144

⇒H2=81

⇒H=44

⇒H=22

Thus, the height of the ladder is 22cm

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