You are to walk across a high wire strung horizontally...?

Question

You are to walk across a high wire strung horizontally between two buildings 10.0m apart. The sag in the high wire when you are at the mid-point should not exceed 10°. If your mass is 50.0 kg what must be the tension in the rope?

Answer 1

The tension times the sin of 10 degrees has to support half your weight. (You need to figure out why it is HALF, not ALL.)

Convert your mass to a weight (that is, the force that gravity will exert on 50kg).

Divide that force by 2, and figure out what the tension has to be so that:
tension x sin 10 deg = that force