all you need here is the perpendicular distance from Nancy's plane to a N-S line. If that distance is x, then
x/400 = sin 23°
x = 156.29
you are correct. Nasty how they sneak in unrelated problems, eh?
Two pilots take off from the same airport. Mason heads due south. Nancy heads 23 west of south. After 400 land miles, how far is Nancy from Mason’s route?
I think 156.29, but I'm not sure because the question comes in a lesson on sum and difference identities, and none of the identities was used in solving the problem.
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