As measured by mission control, how far away is the distant star?

Data is missing but assuming the values:
Equation is as follows:
(1-β^2) = 10/150 
β =v/C = 0.99 
v = 0.99 C 

As,
Distance = Velocity * Time
So,
1st Distance= 0.99 C* time = 0.99 C*150 years = 148.5 light years 
2nd Distance = 0.99 C* time = 0.99 C*10 years = 9.9 light years

The answer to the question is gold

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