Introducing
Your new presentation assistant.
Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.
Trending searches
C
Find the angle ABC.
2
Complete the worksheet about the Sine and Cosine rule.
2
9 cm
2
9 cm
2
BC = 9 + 12 - 2(9)(12)Cos63
BC = 81 + 144 - 216Cos63
BC = 126.9380521
BC = 126.9380521 = 11.3 cm
o
63
o
A
63
A
=
Sin ABC 9
Sin 63 11.266...
12 cm
B
Sin ABC = x Sin 63
9
11.266...
Sin ABC = 0.711750004
ABC = Sin 0.71175004 = 45.4
-1
o
Find the length BC.
15 cm
A
Find the length BC.
C
=
Sin BCA 6
Sin 98 15
6 cm
o
15 cm
98
C
Sin BCA = 0.4 x Sin 98
Sin BCA = 0.396107227
BCA = Sin 0.396107227 = 23.33504691
A
-1
o
B
o
So angle BAC = 180 - 98 - 23.335... = 58.66495309
o
6 cm
98
=
BC Sin 58.66495309
15 Sin 98
B
Sin 58.66495309
Sin 98
BC = x 15
BC = 12.9 cm
o
A car travels 17 km from point A on a bearing of 040 to point B. The car then travels 25 km on a bearing of 072 to point C. Find the bearing and distance of C from A.
o
A car travels 17 km from point A on a bearing of 040 to point B. The car then travels 25 km on a bearing of 072 to point C. Find the bearing and distance of C from A.
2
AC = 17 + 25 - 2(17)(25)Cos148
AC = 1634.840882
AC = 1634.840882 = 40.4 km
140
=
Sin BAC 25
Sin 148 40.433...
148
25
40.433...
Sin BAC = x Sin 148
Sin BAC = 0.327651357
BAC = Sin 0.327651357 = 19.1
Bearing = 40 + 19.1 = 59.1
o
Use sine and cosine rule to solve problems in non-right triangles.