Say I know the x and y components, how do i go about finding the diagonal one?

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To find the diagonal component of a vector given its x and y components, the magnitude can be calculated using the formula V = sqrt(x^2 + y^2). In this case, with x = 50 m/s and y = 120 m/s, the initial velocity can be determined without needing the angle theta. The relationship between the components is established through trigonometric functions, but the direct calculation of the magnitude simplifies the process. Thus, the diagonal component is the square root of the sum of the squares of the x and y components. This method provides a straightforward solution to the problem.
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Homework Statement


^--------------^
|..../
|.../
|.../
|.../
|.../
|.../
|/_____________> ignore the dots

If my y component is 120m/s and my X component is 50m/s, how do I go about finding initial V??


Attempt:

i know that the y component = sin(O)*V
and the x= cos (O) *V

So that must mean that
V= x/cos(O)
AND
V= y/sin(O)

so maybe just maybe: x/cos(O)=y/sin(O)

But i don't know theta. and I am not looking for it either.
^--------------^
|..../
|.../
|.../
|.../
|.../
|.../
|/_____________> ignore the dots
 
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