Q$1)$ The geodetic Cartesian coordinates $(x,Y,Z$ of point $C$ in geodetic system are calculated based on spheroid

$($Clack $1866).$ These coordinates are $(\{$:$xc=4160770\mathrm{.}529(m),Y{c}_c=4018009\mathrm{.}395(m),Z{c}_c=2678938\mathrm{.}119(m)).$ The

parameters of the spheroid $($Clark $1866)$: $a=6378206\mathrm{.}400m$;$b=6356583\mathrm{.}800m.$ Find:

$(35$ MARKS$)$

The flattening $(f),$ second eccentricity and linear eccentricity of the spheroid.

The geodetic latitudes $/$ longitudes $(,)$ of the points $C.$

The height of points $($C$)$ above geoid $($MSL$)$ if the separations $(N)$ are at point $C(N_C=6\mathrm{.}000(m)).$