A climber is stuck on a cliff face. A rescue worker on the ground is 200 m from the bottom of the cliff. The angles of elevation of the climber and of the top of the cliff as seen by the rescuer are 45 degrees and 60 degrees respectively. Draw a diagram.
Another rescuer at the top of the cliff is going to lower a rope to the climber but he is not sure that his rope is long enough. What length of rope should he use to save the climber?