Solve the following problems by the method of solving oblique triangles of ambiguous case :
1. A side and a diagonal of a parallelogram are 12 inches and 19 inches, respectively. The angle between the diagonals, opposite the given side, is 124°. Find the length
of the other diagonal.
2. A lighthouse is 10 miles northeast of a dock. A ship leaves the dock at noon and sails east at a speed of 12 miles per hr. At what time will it be 8 miles from the
lighthouse?
3. Two ladders, 6.3 and 9.6 meters long, respectively, with their foot on the same spot on the ground, lean against a wall that slopes away from tem 110°10’ with the horizontal. The long ladder is inclined 25°15’ with the wall. How far apart are their ends on the wall ?