John is parasailing 350 ft away from the boat that pulls him. suppose he is lifted 400 feet into the air. Find the length of the rope used to attach him to the boat. Round to the nearest tenth of a foot.
John | \ | \ |. \ |. \ (a)400ft |. \ |. \ |. \(c) length of rope |. \ |. \ |____________________Boat 350 ft (b)
Pythagorean theorem a-squared + b-squared = c-squared 400-squared + 350-squared = c-squared 160,000 + 122,500 = c- squared 282,500 = c-squared Now take the square root of each side of the equation 531.5 = c The length of the rope is 531.5 feet
