Dr. Taylor,
How can I figure out the speed that the bird must go if I only have one known speed value?
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Well, this is a problem of vector addition. You have two known directions, "from the west" (= toward the ???) and "head northwest", and you have one magnitude "at 70mph". You are looking for the magnitude of the other vector in such a way as to fly directly north, that is to obtain the specific direction north for the vector sum.
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