How Much Work Does Batman Do Swinging to a Ledge?

[crhscoog]

Homework Statement

Batman, whose mass is 101kg, is holding on to the free end of a 16 m rope, the other end of which is fixed to a tree limb above. He is able to get the rope in motion as only Batman knows how, eventually getting it to swing enough that he can reach a ledge when the rope makes a 80.4 degree angle with the vertical. The acceleration for gravity is 9.8m/s^2. How much work is done against the force of gravity in this maneuver? Answer in units of J.

Homework Equations

W= Frcos(theta)

The Attempt at a Solution

W= Frcos(theta)
= (101*9.8)(16)(cos80.4)
= 2641.08 J
= wrong answer

What am I doing wrong? From the looks of it, maybe the angle? If so what angle do I use and how do I find it?

 

[Redbelly98]

How much more energy does Batman have at the end of the process, compared to at the beginning? Where would that energy come from?