Mathematics

Problem

Two students

A

and

B

stand on the same straight line on level ground on the same side of a vertical tower. Student

A

is 20 m nearer to the tower than student

B

. The angles of elevation of the top of the tower measured from

A

and

B

are

45^{\circ}

and

30^{\circ}

respectively. a. (i) Find the height of the tower. b. (ii) Calculate the distance of

B

from the foot of the tower.