From two points and on the same side of a tower in a straight line with its foot

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

Problem

From two points

P

and

Q

on the same side of a tower in a straight line with its foot,

Q

being

20\,\text{m}

nearer the tower than

P

, the angles of elevation of the top are

30^{\circ}

and

45^{\circ}

respectively. Find the height of the tower (nearest tenth). (a)

30.0\text{ m}

(b)

27.3\text{ m}

(c)

34.6\text{ m}

(d)

20.0\text{ m}