How can I solve a simultaneous equation with unknown angles in it?

[Jordan.Lewis]

Hey guys, I am currently studying Engineering, and its only my first year. I am having trouble with one of the simultaneous equations i have made from a physics question. I don't know how to solve this because the uknowns are both angles.

I have attached a photo of the simultaneous equation

Thanks :)

 

[ehild]

This is unsolvable. Show the original Physics question.

ehild

 

[Jordan.Lewis]

Thanks for the quick reply.

I have attached the original physics question,

the parameters were given to me online, which are

Weight of A= 144N
Weight of B = 229N
weight of C = 202N

 

[ehild]

The right side of your second equation in the previous post is not zero. The vertical components of the tensions in the strings must balance the weight of A.

ehild

 

[Jordan.Lewis]

Thank you so much Ehild for your help :), i completely missed that.

 

[ehild]

Can you solve the problem now?

ehild

 

[Jordan.Lewis]

sadly not, I had high hopes, and gave it a shot. But i still don't know how to solve a simultaneous equation with the uknowns as the angles..

 

[ehild]

It is always very useful to move the terms with different angles on the different sides of the equation, square both sides, then add up the equations, and replacing sin()² +cos()²=1

ehild