Problem $8\mathrm{.}88$ The area is an L $15210212\mathrm{.}7$ Angle beam cross section. Its moments of inertia are $I_x=7\mathrm{.}24{10}^{6}m{m}^4,I_y=2\mathrm{.}61{10}^{6}m{m}^4,$ and $I_{xy}=-13\mathrm{.}3{10}^{6}m{m}^4.$ Determine the moments of inertia $I_{x^{\text{'}}},I_{y^{\text{'}}}$ and $I_{x^{\text{'}}{y}^{\text{'}}}$ if $=60.$

$($Use a Mohr's circle$)$