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(1) a truck driver is running out of gas. his gauge says that he can travel another 45 miles. he can deliver his shipment to one of two places, max's auto goods or jimmy's car supply which are about 40 miles apart from each other. using the image below determine which store he can make it to with the amount of gas he has left in his truck. explain.

He can make it with Max's audio goods

44.575 miles < 45 miles

Step-by-step explanation:

The angle of the truck driver = 180 - (60 + 69) = 51°

By using sin Rule:

40/sin51 = Max's auto goods/sin60 = Jimmy's car supply/sin69

∴ Max's auto goods = 40(sin60)/sin51 = 44.575 miles

∴ Jimmy's car supply = 40sin(69)/sin51 = 48.052 miles

∵ The truck driver can travel another 45 miles

∴ He can make it with Max's audio goods because 44.575 < 45