If a tower subtends angles ,

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

If a tower subtends angles

\theta

2\theta

, and

3\theta

at three points

A

B

, and

C

, respectively, lying on the same side of a horizontal line through the foot of the tower, show that

\frac{AB}{BC}=\frac{\cot\theta-\cot2\theta}{\cot2\theta-\cot3\theta}.