Answer :
Answer:
The angle between tomatoes and carrots is 92.2°, approximately.
Step-by-step explanation:
As you can observe in the image attached, the triangle formed is scalene, which means we need to use the law of cosines to find the answer.
[tex]p^{2} =c^{2} +t^{2} -2(c)(t)(cos\theta)[/tex]
Where [tex]p[/tex] is green peppers, [tex]c[/tex] is carrots, [tex]t[/tex] is tomatoes and [tex]\theta[/tex] is the angle between tomatoes and carrtos.
Replacing all given values, we have
[tex]21^{2} =13^{2} +16^{2} -2(13)(16)(cos\theta)\\441=169+256-416cos\theta\\441-169-256=-416cos\theta\\\frac{16}{-416}=cos\theta\\ \theta=cos^{-1}(\frac{1}{-26} ) \approx 92.2\°[/tex]
Therefore, the angle between tomatoes and carrots is 92.2°, approximately.
