$\displaystyle T1 = \frac{mg}{\sin\alpha\:+\:\frac{\cos\:\alpha}{\cos\ :\beta}\sin\:\beta}$

$\displaystyle \sin\:\alpha = 64$

$\displaystyle \cos\:\alpha = 26$

$\displaystyle \cos\:\beta = 39$

$\displaystyle \sin\:\beta = 51$

i get the answer to 27.2587, am i doing this correct?

mg = 49