Question

select the correct answer.
the luminous star alnilam in the orion belt is 1,340 light - years away from earth. use the conversion factor 1 parsec = 3.262 light - years to find the closest conversion of this distance from light - years to parsecs (pc).
a. 4371.08 pc
b. 200.56 pc
c. 410.8 pc
d. 734.78 pc
e. 1589 pc

Explanation:

Step1: Set up the conversion formula

We know that \(1\) parsec \( = 3.262\) light - years. Let \(x\) be the distance in parsecs. Then \(x=\frac{\text{distance in light - years}}{3.262}\).
Given the distance in light - years is \(1340\), so \(x = \frac{1340}{3.262}\).

Step2: Calculate the value of \(x\)

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Answer:

C. \(410.8\) pc