A) \[\frac{3}{\sqrt{7}}h\]
B) \[\frac{\sqrt{7}}{3}h\]
C) \[\frac{\sqrt{3}}{7}h\]
D) \[\frac{7}{\sqrt{3}}h\]
Correct Answer: A
Solution :
\[\frac{\sin {{90}^{o}}}{\sin C}=\mu \] \[\sin \,C=\frac{1}{\mu }\Rightarrow \frac{R}{\sqrt{{{R}^{2}}+{{h}^{2}}}}=\frac{3}{4}\] Squaring, \[16\,{{R}^{2}}=9{{R}^{2}}+9{{h}^{2}}\] \[7{{R}^{2}}=9{{h}^{2}}\Rightarrow R=\frac{3}{\sqrt{7}}h\]You need to login to perform this action.
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