In a rescue, the 64.0 kg police officer is suspended by two cables,the cable on the left made a 35 degree angle, the rope on the right made a 48 degree angle. What is the tension in the left cable? Find the tension in the right cable.

Answer 1

Draw a vector diagram at the man.

mg downward.
Tleft at the correct angle, and Tright at the correct angle.

Now resolve Tleft into a horizontal component and vertical component. Do the same with the right side.

Now the sum of the vertical components (Tleft up, Tright up, mg) is zero.
And the sum of the horizontal components is zero also.
That will yield a solution for the tension in each cable.