Download sine law worksheet #1 - hrsbstaff.ednet.ns.ca

SINE LAW ASSIGNMENT
Outcomes:
D3 apply sine and cosine ratios and functions to situations involving non-acute angles
D5 apply the Law of Sines, the Law of Cosines, and the formula ‘area of a triangle ABC =
1.
bc sin A’ to solve problems
Solve for the unknown in each triangle. Watch out for the ambiguous case.
A.
B.
x
17m
x
42°
C.
35°
88°
9.4cm
22m
D.
E.
F.
21cm
48°
13m
x
44mm
51°
6cm
x
52°
61°
118°
12m
x
67°
2.
x
45m
Solve for all missing sides and angles in each triangle. Watch out for the ambiguous
case.
J
A
A. B
51°
B.
71°
M
C.
42°
28m
50m
9.8cm
K 84°
C
3.
N
31m
62°
O
L
Suppose that you are the pilot of a commercial airliner. You find it necessary to
detour around a group of thundershowers. You turn at an angle of 21 degrees to your
original path, fly for a while, turn, and intercept your original path at an angle of 35
degrees, 70 km from where you left it.
a) How much further did you travel as a result of the detour?
b) What is the area of the triangle?