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What is the angular separation of the two stars? Give your answer in degrees. Co

ID: 285862 • Letter: W

Question

What is the angular separation of the two stars? Give your answer in degrees. Constants Periodic Table Express your answer using two significant figures. Suppose that two stars in a binary star system are separated by a distance of 60 million kilometers and are located at a distance of 200 light-years from Earth 3.4(10) Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the angular separation of the two stars? Give your answer in arcseconds. Express your answer using two significant figures. Submit Request Answer

Explanation / Answer

One light year is:

9.461 × 1012 kilometers

We have 200 light years, so the distance to the stars is actually:

200 * (9.461 x 1012 km)

To get the degree, use tan:

tan((90 * 107 km)/(200 * (9.461 x 1012 km)))

8.30142  x 10-9 radians

This gives us the degree in radians, so we just convert this to degrees for our sake by multiplying by 180/pi.

4.75636 x 10-7 degrees

1 degree =3600 arc seconds

4.75636 x 10-7 degrees = 1.71229 x 10-3 arc seconds

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