What is the height of building?

Replies

• 

  ISHAN TOPRE

  No body could attempt it? Is it this tough?
• 

  Prashanth_p@cchi

  #-Link-Snipped-# : Can you please provide the answer for this?
• 

  ISHAN TOPRE

  The answer is provided. You need to read the initiation post carefully.
• 

  Prashanth_p@cchi

  Issue

  The answer is provided. You need to read the initiation post carefully.

  Logic?
• 

  Ramani Aswath

  Since the answer is provided, one can work backwards.
  It is also given that the sun may or may not be overhead, which implies that being overhead is not banned. Let us consider the sun overhead. The shadow will have zero length. What will be the angle less than 90 for which the shadow will be 10 m? Simple trigonometry tells that when the sun is 60 degrees above horizon the shadow will be 1/sqrt(3) times the height, in this case 10 m. The difference in the shadow length = 10 - 0 = 10 for an angle difference of 30 degrees.
  At all other angles the difference is a function of the angle and hence not defined.
• 

  graphite

  Logic behind it is to use the 30-60-90 triangle theorem we which learned in 10 std. Using that we can calculate the height of building.
  Am I correct?
• 

  Ramani Aswath

  graphite

  Logic behind it is to use the 30-60-90 triangle theorem we which learned in 10 std. Using that we can calculate the height of building.
  Am I correct?

  Looks like that.
  The logic is that the difference in shadow length of 10 m for a change in the angle of elevation of the sun of 30 degrees has a unique solution only for the initial angle of 60 degrees.
• 

  graphite

  Ok Sir #-Link-Snipped-#
  i got it. Thank you.
• 

  zaveri

  sounds like a trigonometry problem, but don't have the patience to solve it.
• 

  Saandeep Sreerambatla

  THe answer is possible only under the assumption that sun is over head. IF we assume that, its a trignometry problem as #-Link-Snipped-# sir solved it.
• 

  anuraadha

  Isolved it just now. But saw that it is already solved 😔
• 

  ISHAN TOPRE

  English-Scared

  THe answer is possible only under the assumption that sun is over head. IF we assume that, its a trignometry problem as #-Link-Snipped-# sir solved it.

  Ok, let me give an explanation. Here is the theorem.
  

  For a give selected angle, in a triangle whether right angled triangle or not, the length of side opposite side to the angle remains same until the angle remains unchanged.

  So, whether the sun is overhead or not, the length 10 m which is the side opposite to 30 deg angle remains same. Now by suitable assumptions, we say that the sun is overhead the building and calculate the height of building by using Pythagoras rule i.e. Bodhayan Prameya.
• 

  anuraadha

  Issue

  Ok, let me give an explanation. Here is the theorem.
  
  
  So, whether the sun is overhead or not, the length 10 m which is the side opposite to 30 deg angle remains same. Now by suitable assumptions, we say that the sun is overhead the building and calculate the height of building by using Pythagoras rule i.e. Bodhayan Prameya.

  What are the assumptions? And when the sun is right on top of the building , it won't cast its shadow. I solved the problem not assuming the sun overhead. As they have given in the beginning that the building casts a shadow.
• 

  Ramani Aswath

  Issue

  For a give selected angle, in a triangle whether right angled triangle or not, the length of side opposite side to the angle remains same until the angle remains unchanged.

  I do not understand this. The minimum length of the side opposite a 30 degree angle will be half the hypotenuse in a right triangle. If it is not a right triangle, the length can be anything up to infinity, depending on the other two angles.
• 

  Prashanth_p@cchi

  Issue

  Ok, let me give an explanation. Here is the theorem.
  For a give selected angle, in a
  triangle whether right angled
  triangle or not, the length of side
  opposite side to the angle remains
  same until the angle remains
  unchanged.

  Oh! I dnt get ths. Shud dat angle in italics be changed to 'angle and the length of other two sides'??? I thnk dat shud make some meaning.
• 

  rahul tripathi

  15