sin 30 = 1/2 and sin x = Perpendicular/Hypoteneous.
so,
Perpendicular =100m
Hypoteneous=100/sin30=100*2=200
Now, Base1=sqrt(sqr(200)-sqr(100))=173.32
Similarly
Hypoteneous2 = Perpendicular/Sin 45 = 100*1.414=141.4
Base2=sqrt(sqr(141.4)-sqr(100))=99.96
Distance=Base1+Base2=173.76+99.96=273 m apporx
Answer: Distance = 273 m (approx)