# trig

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Two pilots take off from the same airport. Mason heads due south. Nancy heads 23º west of south. After 400 land miles, how far is Nancy from Mason’s route? Round your answer to the nearest tenth of a mile. (Enter only the number.)(If someone had helped me with the one similar to this I probably wouldn't be asking)

• trig -

Draw a diagram. Draw a line S for Mason.
Draw a line 400 long at S 23° W for Nancy. Draw a line directly east so connect the end of Nancy's route to Mason's line. That line will be of length x, such that

x/400 = sin 23° = 0.39

So, x = 156.3 mi from Mason's course.

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