A tree of height 36 m at the edge of a road broke at a certain height and it fell in such a way that its top touched the other edge of the road. If the breadth of the road is 12 m, then the height at which the tree broke was
(a)24
(b)16
(c)18
(d)12

• 16 is the ans. (36-x)= sqrt(x^2 + 12^2) find x.. so x=16
• 11 years agoHelpfull: Yes(19) No(0)
• It will form a right angled triangle with sides 12m as base, x as perpendicular and 36-x as hypotenuse. On applying Pythagoras theorem
  (36-x)^2 = 12^2 + x^2
  => 1296 + x^2 - 72x = 144 + x^2
  => 72x = 1152
  => x = 1152/72
  => x = 16 Ans
  
• 11 years agoHelpfull: Yes(12) No(0)
• 16
  option b
  
• 11 years agoHelpfull: Yes(3) No(3)
• ans is 16
  let hight of break be x
  (36-x)^2=x^2+12^2
  1296+x^2-72x=x^2+144
  72x=1152
  x=16
  
• 11 years agoHelpfull: Yes(3) No(0)
• |
  left height | x=height which broke
  (36-x) |
  |___ width of road = 12
  
  So, x^2 = (36-x)^2 +12^2
  x=20 so tree broke at 36-20=16.
• 11 years agoHelpfull: Yes(2) No(0)
• (36-x)^2=x^2+12^2
  ans x=16
  therefore the height at whch it broke is 16.
• 11 years agoHelpfull: Yes(1) No(0)
• ans-b)16
  by Pythagoras theorem...
• 11 years agoHelpfull: Yes(1) No(0)
• (36-x)^2= x^2+ (12)^2, whr the x will be 16 .
• 11 years agoHelpfull: Yes(1) No(1)
• 16 ans
  by pythagoras theorem
  
• 11 years agoHelpfull: Yes(0) No(0)
• according to pythagoras theorem the triangle of dimensions
  3,4,5
  is right angle triangle that's why the triangle having dimensions
  3*4,4*4,5*4
  will also be a right angle triangle so the ans is 16.
• 11 years agoHelpfull: Yes(0) No(0)
• |
  |
  |
  |
  |
  |
  |x (36-x)
  |
  |
  |_________
  
  road 12 m
  
  (36-x)^2= sqrt(x^2+144)
• 11 years agoHelpfull: Yes(0) No(0)
• using pythogoras theorem
  (36-x)hypo=sqrt(x^2+12^2)
  x=16
• 9 years agoHelpfull: Yes(0) No(0)
• |
  | 36-x
  |
  xm |
  |_____
  12m From the question , this is how the tree broke.
  We can see that the figure forms a right angle triangle.
  So, according to Pythagoras theorem,
  (hypotenuse)^2 = (side)^2 + (side)^2
  (36-x)^2 = (x)^2 + (12)^2
  => 1296 + x^2 - 72x = 144 + x^2
  => 1296-144 = 72x [ x^2 on both sides gets cancelled]
  => 1152 = 72x
  => 1152/72 = x
  => 16 = x
  Hence, the height at which the tree broke is 16m
• 8 years agoHelpfull: Yes(0) No(0)