Apply Lami's theorem on sling shot and calculate the tension in each string?

Explanation

Given F = 50 N, `theta = 30^@`
Here T is resolved into its components as T sin `theta` and T cos `theta` as shown. According to Lami.s theorem,
` (F)/(sin 2 theta) = (T)/(sin (180 - theta)) = (T)/(sin ( 180 - theta))`
`(F)/(sin 2 theta) = (T)/(sin theta)`
`(F)/(2 sin theta cos theta) = (T)/(sin theta)`
` therefore T = (F)/(2 cos theta) = (50)/(2 cos 30^@) = 28.868 N `