Answer:
a. 8.136 × 10¹³ km b. 2.669 × 10¹⁹ feet
Step-by-step explanation:
a. What is this distance in kilometers?
Since Sirius A is 8.6 light years away from Earth and one light year = distance travelled by light in a year = 3 × 10⁸ m/ s × 365 days/year × 24 hr/day × 3600 s/hr = 9.4608 × 10¹⁵ m = 9.4608 × 10¹² km.
Then 8.6 light years = 8.6 × 1 light year
= 8.6 × 9.4608 × 10¹² km
= 81.363 × 10¹² km
= 8.1363 × 10¹³ km
≅ 8.136 × 10¹³ km
b. What is this distance in feet?
Since 1 meter = 3.28 feet,
8.6 light years = 8.1363 × 10¹² km
= 8136.3 × 10¹⁵ m
= 8136.3 × 10¹⁵ × 1 m
= 8136.3 × 10¹⁵ × 3.28 feet
= 26687.1 × 10¹⁵ feet
= 2.66871 × 10¹⁹ feet
≅ 2.669 × 10¹⁹ feet