Explanation:
force 1 x distance 1 from pivot = force 2 x distance 2 from pivot
the weight is a force (1:1).
so,
60×2.7 = 49×distance 2
162 = 49 × distance 2
distance 2 = 162/49 = 3.306122449... m
she must sit 3.306122449... ≈ 3.3 m from the pivot on her side.