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Getting change angel from forward vector?

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Hi there,

Im having a little math meltdown attempting to figure out how i get the angle change between my x,z vectors, to find the position i should be placing my object @.

Here is a picture to explain what i want. (the point being what i need to figure out.)
388091_10151052876600257_743435256_21691674_736141820_n.jpg

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