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Sagot :
The flying drones are illustrations of the laws of cosines
Both flying drones would be 128.13 meters apart after 1 hour
How to determine the distance between them
For drone A, we have:
- Angle =120 degrees
- Speed = 80 mph
So, the distance after one hour is:
Distance = 80 m
The distance is calculated using:
Distance = Speed * Time
For drone B, we have:
- Angle = 320 degrees
- Speed = 50 mph
So, the distance after one hour is:
Distance = 50 m
The angle between them is calculated as:
[tex]\theta = 360 -(320 - 120)[/tex]
This gives
[tex]\theta =160[/tex]
Using the laws of cosine, the distance (d) between them after 1 hour is:
[tex]d = \sqrt{a^2 + b^2 -2ab\cos(\theta)}[/tex]
So, we have:
[tex]d = \sqrt{80^2 + 50^2 -2*80 *50\cos(160)}[/tex]
Evaluate the expression
[tex]d = 128.13[/tex]
Hence, both drones would be 128.13 meters apart after 1 hour
Read more about laws of cosines at:
https://brainly.com/question/4372174
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