Basic Math Puzzle: Find Dr. Gibbus' Angle

Replies

• 

  RachaelP

  Well this is my first post so I hope I get this correct.
  
  Rach

  Here goes....
  
  We have 2 triangles the first 2x1 and the second 3x1 and the angle alpha is their intersection. Now we know that the sum of all 3 internal angles must equal 180 degrees so if we calculate the angles formed from the 2x1 and 3x1 triangles we can calculate alpha.
  
  The angle of each of the triangles can be calculated by:
  
  angle = tan-1 opposite/adjacent
  
  So....
  
  For the 2x1 triangle:
  
  angle = tan-1 2 = 63.435
  
  For the 3x1 triangle:
  
  angle = tan-1 3 = 71.565
  
  Therefore....
  
  alpha = 180 - 63.435 - 71.565
  
  So the Dr. Gibbus' Angle is 45 degrees.
  
  
  
  ​
• 

  Ellie

  This can also be acheived in a simpler way as follows....
  
  Leave computer chair and go to drawers
  
  Rifle through drawers and find protractor
  
  Go and sit back in computer chair
  
  Put protractor on monitor and measure angle
  
  Answer = 45 degrees
  
  Ellie 😕 😁
• 

  Kaustubh Katdare

  Ellie

  This can also be acheived in a simpler way as follows....
  
  Leave computer chair and go to drawers
  
  Rifle through drawers and find protractor
  
  Go and sit back in computer chair
  
  Put protractor on monitor and measure angle
  
  Answer = 45 degrees
  
  Ellie 😕 😁

  
  No doubt you are a Crazy Engineer 😁 . But then, Logic is our best friend. It helps us in many situations.
  
  Good approach, I must say. But I was wondering if anyone of us can actually tell us the solution for this problem.
  
  -The Big K-
• 

  djnachi

  Ellie

  This can also be acheived in a simpler way as follows....
  
  Leave computer chair and go to drawers
  
  Rifle through drawers and find protractor
  
  Go and sit back in computer chair
  
  Put protractor on monitor and measure angle
  
  Answer = 45 degrees
  
  Ellie 😕 😁

  
  Hi Ellie,
  
  Got to say., you got Humorously Smart Brain. 😉
  But i still wonder, is it actually the right way to find the Gibbus' Angle?? 😒
  
  Regards,
  Dj Nachi. 😀
• 

  djnachi

  RachaelP

  Well this is my first post so I hope I get this correct.
  
  
  
  Rach

  Here goes....​

  
  

  We have 2 triangles the first 2x1 and the second 3x1 and the angle alpha is their intersection. Now we know that the sum of all 3 internal angles must equal 180 degrees so if we calculate the angles formed from the 2x1 and 3x1 triangles we can calculate alpha.​

  
  

  The angle of each of the triangles can be calculated by:​

  
  

  angle = tan-1 opposite/adjacent​

  
  

  So....​

  
  

  For the 2x1 triangle:​

  
  

  angle = tan-1 2 = 63.435​

  
  

  For the 3x1 triangle:​

  
  

  angle = tan-1 3 = 71.565​

  
  

  Therefore....​

  
  

  alpha = 180 - 63.435 - 71.565​

  
  

  So the Dr. Gibbus' Angle is 45 degrees.​

  Hi Rachael,
  Hats Off ... 😁
  You made it so easy to understand. Me priety messy with mathematics but i still tried to apply few of my basics but eventually failed. So i really appreciate the fact that you so very well systematically got it.
  Congrats !!!
  
  Regards,
  Dj Nachi. 😀
• 

  Rocker

  RachaelP

  Well this is my first post so I hope I get this correct.
  
  Rach

  Here goes....
  
  We have 2 triangles the first 2x1 and the second 3x1 and the angle alpha is their intersection. Now we know that the sum of all 3 internal angles must equal 180 degrees so if we calculate the angles formed from the 2x1 and 3x1 triangles we can calculate alpha.
  
  The angle of each of the triangles can be calculated by:
  
  angle = tan-1 opposite/adjacent
  
  So....
  
  For the 2x1 triangle:
  
  angle = tan-1 2 = 63.435
  
  For the 3x1 triangle:
  
  angle = tan-1 3 = 71.565
  
  Therefore....
  
  alpha = 180 - 63.435 - 71.565
  
  So the Dr. Gibbus' Angle is 45 degrees.
  
  
  
  ​

  I agree with the solution. But I guess there is a simpler way of calculating it. I can't calculate tan -1 mentally 😁
• 

  Kaustubh Katdare

  and the answer is ...
  
  Okay, we have had lot of fun solving the problem. Its high time that we post the solution.
  
  Have a look at this -
  
  
  
  That was simple, what say? 😁
  
  -The Big K-