$4\mathrm{.}14.$ A preengineering baseline was run down a very steep hill $($Figure $4\mathrm{.}33).$ Rather than measuring horizontally downhill with the steel tape, the surveyor measured the vertical angle with a theodolite and the slope distance with an EDM. The vertical angle was $\backslash (-9^\{\backslash$circ$\}26^\{\backslash$prime$\}\backslash ),$ turned to a prism on a plumbed range pole $4\mathrm{.}88$ ft above the ground. The slope distance from the theodolite to the prism was $148\mathrm{.}61$ ft $.$ The theodolite's optical center was $4\mathrm{.}669$ above the upper baseline station at $\backslash (110+71\mathrm{.}25\backslash ).$

a$.$ If the elevation of the upper station is $324\mathrm{.}28,$ what is the elevation of the lower station?

b$.$ What is the chainage $($stationing$)$ of the lower station?

FIGURE $4\mathrm{.}33$ Sketch for Problem $4\mathrm{.}13.$