If \[\overrightarrow{A}=4\hat{i}-3\hat{j}\] and \[\overrightarrow{B}=6\hat{i}+8\hat{j}\] then magnitude and direction of \[\overrightarrow{A}\,+\overrightarrow{B}\] will be

• A.        \[5,\,{{\tan }^{-1}}(3/4)\]   
• B.        \[5\sqrt{5},{{\tan }^{-1}}(1/2)\]
• C.        \[10,\,{{\tan }^{-1}}(5)\]     
• D.        \[25,\,{{\tan }^{-1}}(3/4)\]