You\'re making delieveries to several different stops, each several miles from t

Question

You're making delieveries to several different stops, each several miles from the next. You plan your route so that your final stop will be close to your home. First you drive 1.7 mi due east to take on fuel, then 2.6 mi in a direction 18 degrees east of north to make your first delivery, then 4.8 mi 13 degrees north of due west to your second stop, then 5.5 mi 14 degrees west of due south to the third, then 3.9 mi northeast to your fourth and final stop. a.) Find the vector displacement of your whole trip b.) How far have you traveled that day

Explanation / Answer

x-direction (east): 1.7 + 2.6 cos 18 degrees - 4.8 cos 13 degrees - 5.5 sin 14 degrees + 3.9 cos 45 degrees =0.9229 miles y-direction 2.6 sin 18 degrees + 4.8 sin 13 degrees - 5.5 sin sin 14 degrees + 3.9 sin 45 degrees =3.32 miles

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