Answer
Juggles' mass is $65.15kg$
Work Step by Step
The amount of Potential Energy (PE) Bangles (mass $m=86kg$) has at the platform, which is $h=2.5m$ above the ground, is $$PE_b=mgh=86\times9.8\times2.5=2107J$$
The amount of PE Juggles has at the height $h=3.3m$ above the ground is equal to $PE_b$, so $PE_j=2107J$
To find Juggles' mass, we have $$m=\frac{PE_j}{gh}=\frac{2107}{9.8\times3.3}=65.15kg$$
