An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. (Figure 1) The rope will break if the tension in it exceeds [tex]2.50 \times 10^4 \mathrm{~N}[/tex]. Our hero's mass is [tex]80.0 \mathrm{~kg}[/tex] If the angle [tex]\theta[/tex] is [tex]12.0^{\circ}[/tex], find the tension in the rope.