Mathematics

Problem

Two milestones,

A

and

B

, are located on a straight highway on opposite sides of a communication mast. From the top of the mast, the angles of depression to milestones

A

and

B

are observed to be

30^{\circ}

and

45^{\circ}

, respectively. If the distance between the milestones is

100\,\text{m}

, calculate the height of the mast.