a ladder 4.5 m long is placed against a wall in such a way that the foot of the ladder is 2.7 metre away from the wall find the height of the wall to which the ladder reaches
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Manishpaul
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root under(4.5)^2-(2.7)^2=
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Given,
Length of the ladder = 4.5 m
The foot of the ladder = 2.7 m
To find,
Height of the wall to which the ladder reaches
Solution,
The ladder, vertical wall and foot of the ladder constitutes a right angle triangle.
We know that as per pythogogean theorem
Hypoteneuse² = base² + perpendicular²
So, 4.5² = 2.7² + perpendicular²
or, perpendicular² = 4.5² - 2.7²
or, perpendicular² = (4.5 + 2.7) (4.5 - 2.7)
or, perpendicular² = (7.2) (1.8)
or, perpendicular² = 9*0.8 * 9 * 0.2
or, perpendicular² = 9* 9 * 0.16
or perpendicular =
or, perpendicular = 9 * 0.4
or, perpendicular = 3.6
Hence, the height of the wall to which the ladder reaches is 3.6 m
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