Religious Studies homework help. You need to resolve the forces in two perpendicular directions. In this case resolving vertically will be the useful part..
The downwards force is the weight of the tightrope walker (W=m.g) which is 60 x 9.8 = 588N.
The upwards force comes from the vertical component of the tension in the wire. This is T sin 6 from each side, so 2 T sin6 in total.
The vertical forces are in equilibrium so
upward force = downwards force
588 = 2T sin 6
T = 588 / (2sin6) = 2.8 kN
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