1. A crew member on a fishing boat falls ill and needs medical attention. The boat is at point A located 10 miles from point B, the nearest point on shore. Point B is 70 miles from the nearest hospital on a straight road that
runs along the coast, as shown. The captain radios the hospital to send an ambulance and starts to cruise at 15
miles per hour toward a pier at point C. The ambulance leaves the hospital toward point C at 75 miles per
hour. How far from point B is point C if the boat and the ambulance arrive at the same time? Show your
work.