Let A be a point elevation $130\mathrm{.}48$ m above datum, and let B and C be points of unknown elevation. By means of instrument set $1\mathrm{.}22$ m above B$,$ vertical angles are observed, that to A being$-14$o $45$ and that to C being $+8$o $32.$ If the horizontal distance AB is $547\mathrm{.}20$ m and the horizontal distance BC is $923\mathrm{.}95$ m$,$ determine the elevations of B and C$,$ making due allowance for earth$$s curvature and atmospheric refraction