1.

The angle between  two vector  of magnitude  12 and 18 units when the resultant  is 24 unitsA) 63 degree 57 minB) 75degree 52 degreeC) 82 degree 3minD) 89degree 16minIs there  is way to find the uncommon degrees in maths   or it  is only possible  by using calculatator ????

Answer»

Correct option is (B) 75.52 degree

Explanation:

As we know that
R² = A² + B² + 2ABcos(θ) 

24² = 12² + 18² + 2*12*18cos(θ) 
6(4²) =62 (2² + 3² + 2*2*3cos(θ))
Cos 
θ = 3/12 = 0.25
we can only tick the value by graph of cos
θ if there is greater difference of angle in options otherwise use calculator.

θ = 75.52 degree.



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