The length of a ladder is exactly equal to the height of the wall it is learning against. If 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

a. 12 m

b. 15 m

c. 18 m

d. 11 m

• let the length of the ladder = height of the wall be 'x', if we follow the procedure of the question the arrangemet forms a right angled triangle with hypotenuse=x,opposite side=x-3& adgescent side=9m
  now from the property of right angled triangle
  x^2=(x-3)^2+9^2
  =>x=15m
• 10 years agoHelpfull: Yes(2) No(0)
• let the height of wall=lngth of laddr=x
  den acc to the qn,
  we get a right angled triangle iwd height(x-3) as the tools height is 3m,base as 9 as distance b/w ladder n wall is 9m & hypotenuse as x(the length of ladder,
  nw solving acc to property of right angled triangle,
  x^2=(x-3)^2+9^2
  =>x=15m
• 10 years agoHelpfull: Yes(1) No(0)