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HINT: Lets consider first what the question is asking.
The question asks us to determine the observable diameter of the Cas A remnant in arc-seconds
HINT:What information does the problem give us?
The previous problem provides us with the observed size of the remanant in pixels. We can convert these pixels to arc seconds.
HINT:What is the relationship between the information given and the
information needed?
Obervable Diameter = diameter(pixels) * 1 arc-seconds/2pixel
HINT:What information do we need to plug into the relationship?
diameter(pixels) = 700 pixels
HINT: Are we going to need to convert the units of any of the information that
we have gathered?
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:Plug all of the information in to the final calculation!
OD = 700 pixels * (1 arc-second/2 pixels) = 350 arc-seconds

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