A car X is going north-east at 80km/hr and another car Y is going south-east at 60km/hr. the direction of velocity of X relative to Y makes an angle θ with north such that tanθ is =……………………..?
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X and Y make the base and the height of a right-triangle, of which the hypotenuse is
sqrt(8²+6²)v or 10 kmph
The resultant is 10 at an angle 53.13 degree to B
X or Y are angled to the N-E and N-S, or at 45 deg. to the vertical axis, hence the resultant is at 53.13-45 or 8.13 degree to vertical axis.
tanθ for 8.13 degree = 0.14285714285714
sqrt(8²+6²)v or 10 kmph
The resultant is 10 at an angle 53.13 degree to B
X or Y are angled to the N-E and N-S, or at 45 deg. to the vertical axis, hence the resultant is at 53.13-45 or 8.13 degree to vertical axis.
tanθ for 8.13 degree = 0.14285714285714
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pls details answer in attachment . situation forms the two different vector lines so we can can calculate angle given data
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