Pre-Calculus
Unit 11 WS 11-2: Area and Applications WS
Name:
Pd:
Given the following information about oblique triangles, find the area of each triangle to the nearest one
decimal place. You may use any of the following formulas:
Area = —ab sinC = — ac sin5 = — be sin A
2
2
2
Heron' s Area = ^s(s - a)(s -b)(s -c);
s=—
1. C = 120°; a = 4; b = 6
Area:
2. C-55°; ^ = 5.7; c = 6.9
Area:
3. a = 5; 6 = 7; c = 10
Area:
4. a =2.5; 6 = 10.2; c = 9
Area:
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t° ' H
S
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22 £
6. Find the area of a triangle garden having sides with the following lengths:
a = 43 meters
b = 53 meters
c = 73 meters
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7. A plane flies 500 kilometers at a bearing of 316 degrees from Naples to Elgin. The plane then flies
720 kilometers to Canton (due west of Naples). Find the bearing of the flight from Elgin to Canton?
Elgin
N
v
\
720km
500km
Canton
Not drawn to scale
8. A boat race runs along a triangular course marked with buoys A, B, and C. The race starts with boats
headed west for 3700 meters. The other two sides of the course lie to the north of the first side and their
lengths are 1700 meters and 3000 meters. Draw a visual picture of the course and then find the bearings
for the final two legs of the race.
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e +o c
Cf« A
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