Question

The tops of two towers of height x and y standing on a level round subtends angle of 30 and 60 respectively at the line joining their feet then x:y is.

• A. 1 : 2
• B. 2 : 1
• C. 1 : 3
• D. 3 : 1

Answer 1

The correct option is C 1 : 3

$\tan {30}^o=\frac{x}{a}$ $\tan {60}^o=\frac{y}{a}$

$x=a\tan {30}^o$ $y=a\tan {60}^o$

$\frac{x}{y}=\frac{\tan {30}^o}{\tan {60}^o}=\frac{1}{3}$

$x:y=1:3$.