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A total station is setup on Point A with known Northing and Easting. A back sight from Point A to Point $W$ is done in both direct and reverse modes, which are presented in the following. Calculate the elevation of Point A$.$

Elevation of Point $W=200\mathrm{.}00$

Height of the instrument $=5\mathrm{.}59$

Height of the reflector $=5\mathrm{.}10$

Slope distance $($direct$)$ from A to W: $250\mathrm{.}52$

Slope distance $($reverse$)$ from A to W: $250\mathrm{.}24$

Zenith angle $($direct$)$ from A to W: $90{00}^{\text{'}}{54}^{\text{'}\text{'}}$

Zenith angle $($reverse$)$ from A to W: $269{59}^{\text{'}}{36}^{\text{'}\text{'}}$

$199\mathrm{.}56$

$200\mathrm{.}54$

$200\mathrm{.}44$

$199\mathrm{.}46$