The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years
How to determine the distance between Vega 3 and the Mars?
From the question, we have the following parameters
- Angle between Sero and Vega, Ф = 22.4
- Distance between Mars and Sero, MS = 93 million
- Distance between Vega and Sero, VS = 67 million
See attachment for the illustration of the given parameters.
The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function
VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)
This gives
4489 = 8649+ MV² - 171.96MV
Subtract 8649 from both sides
MV² - 171.96MV = -4160
Rewrite as:
MV² - 171.96MV + 4160 = 0
Using a graphing tool, we have:
MV = 29.1 and MV = 142.8
Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years
Read more about distance at:
https://brainly.com/question/16485848
