How do u convert relative angle to absolute angles?

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To convert relative angles to absolute angles, the formula th2 = th1 + th3 - 180 is suggested. The discussion indicates that th3 can be adjusted based on the known angle th1. It is noted that the relationship between these angles is rooted in basic geometry principles. The assumption is made that the drawn line is parallel to the x-axis, which influences the calculations. Overall, the conversion relies on understanding the geometric relationships between the angles involved.
Luongo
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ie: in the figure theta 3 i got i want theta 2 what formula would i use
 

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Luongo said:
ie: in the figure theta 3 i got i want theta 2 what formula would i use


help please
 
I think it's th2=th1+th3-180
 
There isn't enough information to tell.
 
two_part_arm.gif


It's basic geometry.
Assuming the line I've drawn is parallel to the x axis

th2 = th3 -th
and
th = 180 - th1
Therefore
th2 = th1 + th3 - 180
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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