There are two points, A and $B,$ whose elevations above datum are $h_A=1560ft$ and $h_B=1425ft$ and whose images

a and $b$ on a vertical photograph have photo coordinates $x_a=2\mathrm{.}95$ in$.,y_a=2\mathrm{.}32$ in$.,x_b=-1\mathrm{.}64$ in$.,$ and

$y_b=-2\mathrm{.}66in.$ The camera focal length was $152\mathrm{.}4mm$ and the flying height above datum $7500ft.$

On the same photograph, an image $c$ of a third point $C$ appears. Its elevation $h_C=1455ft$ and its photo coordinates are

$x_c=3\mathrm{.}20$ in$.$ and $y_c=-2\mathrm{.}66$ in$.$ Compute the horizontal angles in triangle ABC.

Part A

Compute angle $A.$

Express your answer in degrees to six significant figures.

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Part B

Compute angle $B.$

Express your answer in degrees to six significant figures.

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Part C

Compute angle $C.$

Express your answer in degrees to six significant figures.

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