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 AnswerExplanation / 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
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.