GEOMETRY QUESION!

Question

At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Cody is standing exactly halfway between the Ferris wheel and the swings, to the nearest hundredth of a foot, find the distance between Cody and the entrance.

Answer 1

Place everything on an xy grid with the Entrance at (0,0). Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124). Cody is halfway between them, so he is at (95-((95-(-23)/2)),156-(156-124/2) or (36,140). The distance from Cody to the entrance, using Pythagoras, is square root of (36²+140²)=144.6 feet