A) \[60\sqrt{6}m\]
B) \[60m\]
C) \[50\sqrt{3}m\]
D) \[30\sqrt{6}m\]
Correct Answer: A
Solution :
Total distance from temple = \[\sqrt{{{x}^{2}}+{{(240)}^{2}}}\] where \[x=\frac{h}{\tan {{60}^{o}}}\] = \[\frac{h}{\sqrt{3}}\] So distance \[=\sqrt{\frac{{{h}^{2}}}{3}+{{(240)}^{2}}}\] but \[\frac{h}{\sqrt{\frac{{{h}^{2}}}{3}+{{(240)}^{2}}}}=\frac{1}{\sqrt{3}}\] Þ \[\frac{{{h}^{2}}}{\frac{{{h}^{2}}}{3}+{{(240)}^{2}}}=\frac{1}{3}\] After solving, \[h=60\sqrt{6}\,\,m.\]You need to login to perform this action.
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