5.5--The Law of Sines
B
82o
A
6
51o
b
C
1)
Solve the following triangle. Round all sides to the
nearest tenth and all angles to the nearest degree:
A
89o
B
55o
17.1
C
5.5--The Law of Sines
2)
Solve the following triangle. Round all sides to the
nearest tenth and all angles to the nearest degree:
D
7.4
E
12.3
57o
F
The "ambiguous case" :
3)
Solve the following triangle. Round all sides to the
nearest tenth and all angles to the nearest degree:
B
11
A
28o
6
C
5.5--The Law of Sines
Do the given measurements determine 0, 1, or 2 triangles?
4)
A = 42o, a = 10, c = 14
5)
B = 57o, a = 5.8, b = 3
6)
C = 76o, c = 55, b = 49
7)
A = 29o, b = 20.6, a = 17.7
8)
Airplane A is flying directly toward the airport which is
20 miles away. The pilot notices that airplane B is 45o to
her right. Airplane B is also flying directly toward the
airport. The pilot of airplane B calculates that airplane A
is 50o to his left. Based on that information, how far is
airplane B from the airport?
5.5--The Law of Sines
9)
Use this triangle to prove the Law of Sines:
C
A
B
pp. 484­486 / 4­20 (multiples of 4), 28,
32, 37, 39, 44, 45, 49­52 all