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.
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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