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.

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Solution

$Let the hypotenuse be h . Using the Pythagoras theorem, we get : 3 . 7^{2} = 1 . 2^{2} + h^{2} h^{2} = 13.69 - 1.44 = 12.25 h = 3.5 Hence, the height of the wall is 3.5 m .$

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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.

Let the hypotenuse be h.Using the Pythagoras theorem, we get:3.72=1.22+h2h2=13.69-1.44=12.25 h=3.5Hence, the height of the wall is 3.5 m.

$Let the hypotenuse be h . Using the Pythagoras theorem, we get : 3 . 7^{2} = 1 . 2^{2} + h^{2} h^{2} = 13.69 - 1.44 = 12.25 h = 3.5 Hence, the height of the wall is 3.5 m .$