A balloon is observed simultaneously from three points ,

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

Problem

A balloon is observed simultaneously from three points

A

B

, and

C

on a straight road directly under it. The angle of elevation at

B

is twice, and at

C

is thrice, that at

A

. If the distance between

A

and

B

200\text{ m}

and the distance between

B

and

C

100\text{ m}

, then the height of the balloon is: (1)

50\text{ m}

(2)

50\sqrt{3}\text{ m}

(3)

50\sqrt{2}\text{ m}

(4) None of these