A) \[\frac{43}{2\sqrt{3}}\]
B) \[\frac{41\sqrt{3}}{2}\]
C) \[\frac{47}{2\sqrt{3}}\]
D) \[\frac{49\sqrt{3}}{2}\]
Correct Answer: A
Solution :
\[7\times \frac{\sqrt{3}}{2}+5\times \frac{1}{\sqrt{3}}+6\times \frac{1}{\sqrt{3}}\] \[\left[ \cos \,30{}^\circ =\frac{\sqrt{3}}{2},\,\tan 30{}^\circ =\frac{1}{\sqrt{3}},\,\cot \,60{}^\circ =\frac{1}{\sqrt{3}} \right]\] \[=\frac{7\times 3+10+12}{2\sqrt{3}}=\frac{43}{2\sqrt{3}}\]
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