Question

Two automobiles leave from the same point in Chicago at the same time and travel along straight highways that differ by 65o. If their speeds are 62 mi/hr and 74 mi/hr, respectively, determine how far apart the cars are after 29 minutes. Round answer to two decimal places.

Answer 1

65o?

Answer 2

here are the options:40.76 miles

B.

25.48 miles

C.

45.86 miles

D.

30.57 miles

E.

35.66 miles

Answer 3

35.66 miles is the answer. Note that in 29 minutes the cars travel

62 x (29/60) = 29.6666667 miles

and

74 x (29/60) = 35.76666667 miles

then using the Law of Cosines we have

c^2 = 29.67^2 + 35.77^2 - 2(29.67)(35.77)cos(65)

and taking the square root we have

c = 35.66 miles