According to math legend, a Greek mathematician named Thales could tell how far out to sea...
According to math legend, a Greek mathematician named Thales could tell how far out to sea a ship was by using geometry. He would first mark off a long segment in the sand (call it PQ). Then, from each endpoint of the segment, he would draw the angle to the ship. Let the ship be represented by Point S. He would then measure the two angles on the other side of the segment away from the shore. The point where the rays of these two angles crossed located the ship (Point R). • Sketch an accurately labeled diagram. • What congruence postulate or theorem was Thales using? • Determine and explain whether or not his method for determining how far out the ship is works. • Use complete sentences and detailed explanations.