Adv Alg/Precalc
Unit 6 Review HW Day 7
Name ________________________
Show all work for full credit.
sin A sin B sin C


a
b
c
1
Area  ab sin C
2
Period ____
Date ____________
c 2  a 2  b 2  2ab cos C
Area  s( s  a )( s  b)( s  c )
s=
abc
2
For questions 1-4, Find the exact radian value for x where 0    2 .
sec2   1  0
2cos2   2cos   3 cos   3
1.
2.
(Hint: Factor by Grouping)
Solve the triangle(s) if they exist.
3.
A  400 , a  2, B  200
5.
b  4, a  3, c  6
4.
b  4, a  5,   400
6.
b  4, a  5, C  400
7) Find the area of the triangle that contains the following:
c  1, a  2, B  100
8) Find the area of shaded region when AB = 8 cm, AC (diameter) = 10 cm, and BC = 5 cm.
B
A
C
9) A ship is just offshore of New York City. A sighting is taken of the Statue of Liberty, which is about 305
feet tall. If the angle of elevation to the top of the statue is 20º, how far is the ship from the base of the
statue?
10) The distance between an aircraft carrier and a Navy destroyer is 7620 feet. The angle of elevation from
the destroyer to a helicopter is 77.2, and the angle of elevation from the aircraft carrier to the helicopter
is 59.0. The helicopter is in the same vertical plane as the two ships, as shown in the figure. Use this
data to determine the distance x from the helicopter to the aircraft carrier.
11) A telephone pole 35 feet high is situated on an 11 slope from the horizontal. The measure of CAB is
21. Find the length of the guy wire, AC.