Answer :
The angle between the two kayakers is given as follows:
83º.
How to obtain the angle between two vectors?
The cosine of the angle between two vectors a and b is obtained according to the equation presented as follows:
[tex]\cos{\theta} = \frac{ab}{|a||b|}[/tex]
In which:
- ab is the dot product of vectors a and b.
- |a| is the norm of vector a.
- |b| is the norm of vector b.
The dot product of the two vectors in this problem is given as follows:
190 x 128 - 160 x 121 = 4960.
The norm of each vector is given as follows:
- |a| = sqrt(190² + 160²) = 248.4.
- |b| = sqrt(128² + 121²) = 176.1.
Hence the angle is obtained as follows:
cos(x) = 4960/(248.4 x 176.1)
cos(x) = 0.1134
x = arccos(0.1134)
x = 83º.
More can be learned about the angle between two vectors at https://brainly.com/question/25705666
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