Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.
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
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.