Two observers and are on opposite sides of a vertical tower and in line with its foot

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

Two observers

R

and

S

are on opposite sides of a vertical tower and in line with its foot. They are

80\,\text{m}

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

R

and

S

are

30^{\circ}

and

60^{\circ}

respectively. What is the height of the tower (nearest tenth)? (a)

46.2\,\text{m}

(b)

28.9\,\text{m}

(c)

34.6\,\text{m}

(d)

69.3\,\text{m}