HINT:#
The question asks us to determine the observable diameter of the Cas A remnant in arc-seconds.
HINT:#
The previous problem provides us with the observed size of the remanant in pixels. We can convert these pixels to arc seconds.
HINT:#
Observable Diameter = diameter(pixels) * 1 arc-seconds/2 pixels
HINT:#
diameter(pixels) = 700 pixels
HINT:#
Let's use unit analysis:
OD = diameter(pixels) * (1 arc-second/2 pixels)
All units cancel except for arc-seconds, so we do not need to convert any units!
HINT:#
OD = 700 pixels * (1 arc-second/2 pixels) = 350 arc-seconds

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