A vertical digital image is acquired using the UltraCam Eagle M$3$ camera. Point A has measured photo coordinates $($corrected for shrinkage and distortions$)$ of xa $=20\mathrm{.}000$ mm$,$

ya $=-10\mathrm{.}000$ mm with an elevation above sea level of hA $=60\mathrm{.}955$ m$.$ Point B has measured photo coordinates $($corrected for shrinkage and distortions$)$ of xb $=-30\mathrm{.}000$ mm$,$ yb $=0\mathrm{.}000$ mm with an elevation above sea level of hB $=152\mathrm{.}411$ m$.$ The scale at point A is $1/8492$ and the scale at point B is $1/7582.$ Hint: For parts b and c$,$ write $2$ scale expressions at points A and B $(1$ expression for each point$)$ using the provided information and equate them.

a$.$ What are the object space coordinates for points A and B to $1$ placeholder to the right of the decimal point $(0\mathrm{.}0)?$

b$.$ What is the flying height above sea level in meters to $1$ placeholder to the right of the decimal point $(0\mathrm{.}0)?$

c$.$ What is the camera focal length in mm to $3$ placeholders to the right of the decimal point $(0\mathrm{.}000)?$