1) In triangle ABC with C = 90^o, solve the triangle for all missing parts if
a = 25 and b = 45.
 

2) A ladder 20 feet long leans against the side of a building and the angle
between the ladder and the building is 22 degrees.

     a) Find the distance from the bottom of the ladder to the building.
 

     b) If the distance from the bottom of the ladder to the building is
         increased by 3 feet, find how far the top of the ladder moves
        down the building.
 
 

3) In triangle ABC , b = 281, c = 358, and A = 43.3^o. Find the area K.
 

4) Solve the triangle ABC by using the law of sines. A=61^o, B=42^o, c=15
 

5) Tell how many solutions exist for the following data, (0, 1, or 2)

     a) C=17^o, a=10, c=11

     b) A=20^o, a=15, b=9

     c) C=30^o, b=10, c=4
 

6) Use the law of cosines to find c in triangle ABC if a=6, b=8, C=35^o
 

7) Two jet aircraft leave an airport at the same time. The course of the first is 160^o while the course of the second is 290^o . If the first travels 500 mph and the second 600 mph what is the distance  between them at the end of 3 hours?
 

8) Make a sketch of each compass reading

     a) N50^oW                                         b) S40^oE
 

     c) Southeast                                    d) Northwest
 

9) From a metal post, proceed 400 m northeast to the river, then 200 m east
along the river to the old lighthouse, then 150 m S25^oE to a post on the edge
of Ford's road, and finally along Ford's Road back to the metal post.

     a) Draw and label the picture with the correct lengths and angles.
 

     b) Find the area of the above figure. (3 significant digits)