In the video to the "Ausdampfverfahren" below there are no calculation with sin. The own speed represents the target speed. Here its juts the own bearing from bow = AOB.
So with the formula it would be: Vt = 4 kt x sin(52°) / sin (52°)
So simplyfied its own speed = target speed when you are on a collision course
Why does this simplyfication work? And why should you use the formula instead?
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