Answer:
The tension is [tex] Â T= 6553.811\ N Â [/tex] Â Â Â
Explanation:
From the question we are told that
  The  mass of the tightrope  walker is  m =  70 kg
  The angle of the rope with the horizontal is  [tex]\theta =  3^ o[/tex]
 Â
Generally the net force on the vertical axis at  equilibrium is mathematically represented as
    [tex]2 T si n (\theta ) - mg   =  0[/tex]
=> Â Â [tex]2 T sin (3 ) - 70 * Â 9.8 Â Â = Â 0[/tex]
=> Â Â [tex] 0.1046719T - 686 Â Â = Â 0[/tex] Â Â
=> Â Â [tex] Â 0.1046719T Â Â = Â 686 [/tex] Â Â
=> Â Â [tex] Â T= 6553.811\ N Â [/tex] Â Â Â