A ladder 7m long is placed on a ground in such a way that it touches the top of a vertical wall 10m high. Find the distance of the foot of the ladder from the bottom of the wall.
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Consider the ladder wall system as a right angled triangle such that length of the ladder be the hypotenuse, length of wall till the ladder be perpendicular and distance between the foot be the base
Thus, H
2 =P 2 +a 2
15
2 =12
2+a 2
225=144+a
2
a 2 =81
a=9 cm
Thus, distance between the foot of the ladder and the wall is 9 cm.
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