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nukeman

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****Quick angular measurement question about moon. Thanks!**

I am suppose to write a calculation on finding angular measurement of the moon. Does the following make sense, and is correct?

Now let’s try to figure out the angular size of the moon. Let's say we are given data that states the moon has a diameter of 3476 kmm and is located 384,400 km from the earth. Now, let's take this equation step by step.

Our Equation will ultimately read: 57.3 x do/d

Now let's plug in out data points that have already been given to us: 57.3 x 3476/384,400 = 0.53 degrees.

First, how did we get 57.3 ? Well, if you hold a ruler at arm’s length and measure the apparent size of the moon, it will measure around 7 mm, (depending on variables). Now, using the measuring apparatus we will determine the distance from the end of your thumb to the top of your shoulder (eye position). Let's use 760 mm as our distance. Now we divide our data points (7mm and 760mm) and get a estimated radians number or 0.0092 radians, which will convert into roughly 57.3 degrees.

Now let's calculate:

57.3 x 3476/384,400 = 0.52 degrees (Rounded up from 0.518)