Tess was flying from Toronto toHamilton at night. She noticed that herheading indicator was malfunctioningand decided to check her position.She called Hamilton Tower andSt. Catharines Radio, knowing that thestations were 50 km apart. Hamiltonreported that the position of her planeformed an angle of 65° with the linejoining the two stations. St. Catharinesreported that her position made an angleof 48°. How far was the plane fromHamilton, to the nearest kilometre?