A man doing push$-$ups pauses in the position shown. He weighs $175$ lb $.$ The distances are $\backslash (\backslash$mathrm$\{$a$\}=10\backslash )$ in$.,\backslash (\backslash$mathrm$\{$b$\}=29\backslash$mathrm$\{$in$\}\backslash ).,$ and $\backslash (\backslash$mathrm$\{$c$\}=12\backslash$mathrm$\{$in$\}\backslash ).$ Determine the normal force exerted by the floor $($a$)$ on each hand, and $($b$)$ on each foot.