What is the scale factor?

Express your answer to six significant figures.

In the figure $($Figure $1),$ the following $\backslash ($ E N $\backslash )$ and $\backslash ($ X Y $\backslash )$ coordinates for points $\backslash ($ A $\backslash )$ through $\backslash ($ C $\backslash )$ are given. Determine a $2$D conformal coordinate transformation, to convert the $\backslash ($ X Y $\backslash )$ coordinates into the EN system.

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Correct

A scale factor might be used if$,$ for instance, two different distance units were involved, such as miles and furlongs $(1$ mile $\backslash (=8\backslash )$ furlongs$).$

Part B

What is the rotation angle?

Express your answer in degrees to six significant figures.

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Correct

As the $\backslash ($ X Y $\backslash )$ coordinate system rotates clockwise, a line rotates counterclockwise relative to the system, and the azimuth changes accordingly.

Part C

What are the translations in $\backslash ($ X $\backslash )$ and $\backslash ($ Y $\backslash )?$

Express your answers in meters to three decimal places separated by a comma.

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Part D

What are the coordinates of points $\backslash ($ C $\backslash )$ in the $\backslash ($ E N $\backslash )$ coordinate system?

Express your answers in meters to three decimal places separated by a comma.

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$\backslash ($ E$,$ N$=\backslash )$

m