Basic Math Puzzle: Find Dr. Gibbus' Angle
CEans,
I found an interesting puzzle on the Internet here 
Puzzle#110  Puzzles of the Month
The puzzle is as follows 
Find the "Professor Gibbus' Angle" below 
Difficulty Level: (2/5) , Basic Mathematics Knowledge.
Post your answers and the logic that you used to calculate the angle 'alpha'. All the best ๐
The Big K
I found an interesting puzzle on the Internet here 
Puzzle#110  Puzzles of the Month
The puzzle is as follows 
Find the "Professor Gibbus' Angle" below 
Difficulty Level: (2/5) , Basic Mathematics Knowledge.
Post your answers and the logic that you used to calculate the angle 'alpha'. All the best ๐
The Big K
Replies

RachaelPWell this is my first post so I hope I get this correct.
RachHere 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 = tan1 opposite/adjacent
So....
For the 2x1 triangle:
angle = tan1 2 = 63.435
For the 3x1 triangle:
angle = tan1 3 = 71.565
Therefore....
alpha = 180  63.435  71.565
So the Dr. Gibbus' Angle is 45 degrees.
โ 
EllieThis 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 ๐ ๐ 
Kaustubh KatdareEllieThis 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 ๐ ๐
No doubt you are a Crazy Engineer ๐ . 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 
djnachiEllieThis 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 ๐ ๐
Hi Ellie,
Got to say., you got Humorously Smart Brain. ๐
But i still wonder, is it actually the right way to find the Gibbus' Angle?? ๐
Regards,
Dj Nachi. ๐ 
djnachi
Hi Rachael,RachaelPWell this is my first post so I hope I get this correct.
RachHere goes....โ
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.โ
The angle of each of the triangles can be calculated by:โ
angle = tan1 opposite/adjacentโ
So....โ
For the 2x1 triangle:โ
angle = tan1 2 = 63.435โ
For the 3x1 triangle:โ
angle = tan1 3 = 71.565โ
Therefore....โ
alpha = 180  63.435  71.565โ
So the Dr. Gibbus' Angle is 45 degrees.โ
Hats Off ... ๐
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. ๐ 
Rocker
I agree with the solution. But I guess there is a simpler way of calculating it. I can't calculate tan 1 mentally ๐RachaelPWell this is my first post so I hope I get this correct.
RachHere 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 = tan1 opposite/adjacent
So....
For the 2x1 triangle:
angle = tan1 2 = 63.435
For the 3x1 triangle:
angle = tan1 3 = 71.565
Therefore....
alpha = 180  63.435  71.565
So the Dr. Gibbus' Angle is 45 degrees.
โ 
Kaustubh Katdareand 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? ๐
The Big K
You are reading an archived discussion.
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