By using conservation of linear momentum, it is obtained that the angle [tex]\theta[/tex] is close to 31°
What is conservation of linear momentum?
Conservation of linear momentum states that on collision of two bodies, the total momentum before and after collision remains the same.
Here,
By using conservation of linear momentum
[tex]1.2 \times 0.50 = 0.8 \times vcos\theta\\vcos\theta = \frac{1.2}{0.8}\times 0.50\\vcos\theta = 0.75[/tex]
Also,
[tex]0.4\times 0.9 = 0.8\times vsin\theta\\vsin\theta= \frac{0.4\times 0.9}{0.8}\\vsin\theta = 0.45[/tex]
Now,
[tex]\frac{vsin\theta}{vcos\theta} = \frac{0.45}{0.75}\\tan \theta = 0.6\\\theta = 31^{\circ}[/tex]
To learn about conservation of linear momentum, refer tot the link
https://brainly.com/question/7538238
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Complete Question
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