Answer:[tex]\theta =27.26^{\circ}[/tex]
Explanation:
Given
Vector A has magnitude of 5 units
Vector B has magnitude of 9 units
Dot product of A and B is 40
i.e.
[tex]A\cdot B=|A||B|cos\theta [/tex]
[tex]40=5\times 9\times cos\theta [/tex]
[tex]cos\theta =\frac{8}{9}=0.889[/tex]
[tex]\theta =27.26^{\circ}[/tex]