question_answer

If the angles of elevation of two towers from the middle point of the line joining their feet be\[{{60}^{o}}\]and\[{{30}^{o}}\]respectively, then the ratio of their heights is  [EAMCET 1987]

A) 2 : 1

B) \[1\,\,:\,\,\sqrt{2}\]

C) 3 : 1

D) \[1\,\,:\,\,\sqrt{3}\]

Correct Answer: C

Solution :

\[{{H}_{1}}=d\tan {{60}^{o}},\] \[{{H}_{2}}=d\tan {{30}^{o}}\] \[\frac{{{H}_{1}}}{{{H}_{2}}}=\frac{\tan {{60}^{o}}}{\tan {{30}^{o}}}=\frac{3}{1}\].