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## Homework Statement

A velocity of [tex]10ms^{-1}[/tex] is to be replaced by two components, [tex]7.0ms^{-1}[/tex] and [tex]5.0ms^{-1}[/tex]. What must be the angle between the two components?

## Homework Equations

## The Attempt at a Solution

Now I think that the answer to the solution lies in using trig to work out the angles, and that solving this equation [tex](5 sin\Theta)^2 + (7 + 5cos\Theta)^2 = 10^2[/tex] should give me the respective answers. What I don't understand is WHY I am doing that. So if someone could be so kind as to tell me how I would reach the conclusion that I should do those steps I would be very grateful.