Force: please help me with this question?

Question

a tightrope walker weighing 145 pounds is standing still at the center of a tightrope that is 46.5 feet long. the weight of the walker causes the center of the tightrope to move down 14.5 inches. find the magnitude of the tension in the tightrope .

Answer 1

Let's first calculate the angle
tan(th)=14.5/(12*46.5)
th=1.49 degrees

Now consider a FBD.
The vertical forces are
145=2*T*sin(1.49)
T=2790 lbs

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