I would use the Law of Sines to solve this problem. The angle next to the 58 degree angle is 122 degrees. The side opposite this angle is 3.72 km. The angle we need to find is at the cave. The side opposite this angle is 2.60 km. (Sin 122/3.72) = (Sin x/2.60) Cross multiply to solve. 3.72 Sin x = 2.60 Sin 122 Divide both sides by 3.72 Sin x = (2.60 Sin 122)/3.72 Sin^-1 x = (2.60Sin122)/3.72 x = 36 degrees
Well if a car travels 435 miles with 25 gallons, then we just need to divide 435 by 25 to know that one gallon can go 17.4 miles. Let me know if this helps.
