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A ladder 3.7 m long is placed against a wall in such a way that the foot of the ladder is 1.2 m away from the wall. Find the height of the wall to which the ladder reaches.

Answer:

Let the height of the ladder reaches to the wall be h.

According to the Pythagoras theorem, we have (Hypotenuse)^2 = (Base)^2 + (Height)^2

3.72 = 1.22 + h^2

h^2 = 13.69 – 1.44 = 12.25

h = 3.5 m

Hence, the height of the wall is 3.5 m.

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