What is the appoximate physical diameter in light-years in this problem?

Question

A globular cluster of stars is measured to have an angular diameter of 20.6 arcseconds, and its distance from the Earth is measured to be 200,000 light-years?
A) 200,000 ly
B) 20 ly
C) 2 ly
D) 1/20 ly

Answer 1

Hi. Simple trig problem. Angle is 0d 0m 20.6s, leg is 200,000 ly, and you are looking for the side opposite. Sin 20.6 arc seconds equals opp over hyp. (Close enough.)

Answer 2

1

Answer 3

2

Answer 4

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RE:
What is the appoximate physical diameter in light-years in this problem?
A globular cluster of stars is measured to have an angular diameter of 20.6 arcseconds, and its distance from the Earth is measured to be 200,000 light-years?
A) 200,000 ly
B) 20 ly
C) 2 ly
D) 1/20 ly

Answer 5

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Answer 6

Anything has an angular diameter of 1 degree at a distance of about 57.3 times its diameter, and in inverse proportion, so 1 minute (= 60 seconds) at 3440 times, so 20.6 seconds at almost exactly 10000 times. The correct answer is B.

Answer 7

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Answer 8

Interesting, I was wondering the same thing myself

Answer 9

I love this question

Answer 10

B