Answer:
T1 = 112.07[lb]
T2 = 487.3 [lb]
Explanation:
To solve this problem we must perform a static balance analysis, for this we perform a free body diagram. In this free body diagram we use the angles mentioned in the description of the problem.
Performing a sum of forces on the X-axis equal to zero, we can find an equation that relates the tension of the T1 & T2 cables.
Then we perform a summation of forces on the Y-axis, in which we can find another equation. In this new equation, we replace the previous one and we can find the tension T2.
T1 = 112.07[lb]
T2 = 487.3 [lb]