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