New position X and Y depending on direction and distance?

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I’m doing a mini shooting game on XNA but I’m not able to imagine how to calculate the following:

Knowing the position of the center of the image, the direction in which it is pointing and the distance between the center and the "beak" of the gun, how to know the position X and Y of the beak of the gun?

c# mathematics xna

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I found the answer:

newX = X + (raio) * cos⁡(ang);
newY = Y + (raio) * sin(ang);

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