Answer: 288.4 pc
Step-by-step explanation:
The apparent magnitude and absolute magnitude of star are related as:
m = M +5 log d - 5
where, m is the apparent magnitude from the Earth and M is the absolute magnitude (The magnitude of star if it is at 10 pc distance away from Earth) of the star. Then, d is the actual distance of star in parsecs (pc).
m = 6.5
M = - 0.8
d = ?
⇒ 6.5 = -0.8 + 5 log d - 5
⇒ 12.3 = 5 log d
⇒ 2.46 = log d
⇒ d = anti-log (2.46) = 288.4 pc
Hence, the star is 288.4 pc away from Earth.