*1) In triangle ABC with C
=
90 ^{o}, solve the triangle for all missing parts if*

*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*

*8) Make a sketch of each
compass
reading*

*
a)
N50 ^{o}W
b) S40^{o}E*

*
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 ^{o}E to a post on the edge*

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

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