Consider ΔABC
Where AB is Height of Tower
BC is distance from boat to tower
tan C = AB/BC
√3 = 100/BC
BC = 57.73
Now let D be the point the boat travelled
tan D = AB/BD
1/√3 = 100/BD
BD = 173.2
Distance travelled by boat CD = BD - BC = 173.2 - 57.73 = 115.47m
Speed of boat = 115.47/2 = 57.73m/min