Current Attempt in Progress

Three deer, A$,$ B$,$ and C$,$ are grazing in a field. Deer B is located $62\mathrm{.}5m$ from deer A at an angle of $52\mathrm{.}6$ north of west. Deer $C$ is located $76\mathrm{.}3$ north of east relative to deer $A.$ The distance between deer $B$ and $C$ is $93\mathrm{.}7m.$ What is the distance between deer A and C$?($Hint: Consider the laws of sines and cosines given in Appendix E$.)$

Number

Units