Determining wind velocity vector.

Homework Statement

A light plane is headed due south with a speed of 185km/h "relative to still air". After 1.0hr, the pilot notices that they have only covered 136km. And that their direction is Southeast 45 degrees. What is the wind velocity?

Homework Equations

Im guessing you have to use i, j substitution, but im just not sure of how or what you would do.

The Attempt at a Solution

I drew it out, and tried solving it trigonometricly...Failed. Tried to look at it the same way as problems with someone swimming and a current pushing them away from their destination point, but I just couldnt figure it out.

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Homework Statement

A light plane is headed due south with a speed of 185km/h "relative to still air". After 1.0hr, the pilot notices that they have only covered 136km. And that their direction is Southeast 45 degrees. What is the wind velocity?

Homework Equations

Im guessing you have to use i, j substitution, but im just not sure of how or what you would do.

The Attempt at a Solution

I drew it out, and tried solving it trigonometricly...Failed. Tried to look at it the same way as problems with someone swimming and a current pushing them away from their destination point, but I just couldnt figure it out.
$\vec{A}$=$\vec{B}$ + $\vec{C}$

Vector B and C not necessarily orthogonal as in river crossing.