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How to figure out answer ?

How to figure out answer ?-example-1

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\sin 45=(y)/(11\sqrt6)\\ (\sqrt2)/(2)=(y)/(11\sqrt6)\\ 2y=11√(12)\\ y=(11√(12))/(2)\\\\ \tan 60=(x)/(y)\\ \tan 60=(x)/((11√(12))/(2))\\ \sqrt3=(2x)/(11√(12))\\ 2x=11√(36)\\ 2x=66\\ x=33 \Rightarrow D
How to figure out answer ?-example-1
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