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The length of a ladder is exactly equal to the height of the wall it is leaning against. The lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then, the height of the wall is:
Asked by rushabh1234 | 05 Feb, 2019, 07:34: PM
answered-by-expert Expert Answer
 
Figure shows the arrangment of ladder placed on a stool and leaning against the wall.
 
AD is ladder and let h be its length. CD is the stool and AB is height of wall.
 
From figure, we write (h-3)2 + 92 = h2 .................(1)
 
h2 + 9 -6h +81 = h2  or  6h = 90   or  h = 15 m
 
Hence height of the wall = 15 m
Answered by Thiyagarajan K | 05 Feb, 2019, 08:17: PM

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