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PreCal Practice for SOS #11
Contributed by: Hulett
(Original author: Crouch)
Solve 7 - 6sinx = 3 + 2sinx  for 0≤θ≤180ο

120ο

180ο

135ο

150ο or 30ο

√6 - √2

         4

√6 + √2

          4

Find the exact value of cos15ο.

√6/4

√2

Find the magnitude of the horizontal

and vertical components of a velocity

of 23 mph at an angle of 16ο with the

ground.

horizontal: 191mph, vertical: 6mph

horizontal: 6mph, vertical: 22mph

horizontal: 22mph, vertical: 10mph

horizontal: 22mph, vertical: 6mph

A commercial passenger jet is flying with

an airspeed of 135 knots on a bearing

of N45οE.  If a 32-knot wind is blowing

at a bearing of S79οE,

determine the velocity and direction

of the jet relative to the ground.

120.1 knots, S55οE

129.2 knots, S35οE

155.2 knots, N55οE

155.2 knots, N35οE

An airplane is traveling due east with a

velocity of 563mph.  The wind blows at

76mph at an angle of S43οE.

What is the resultant speed and direction

of the plane?

617.3mph, S84.8οE

617.3mph, S5.2οE

620mph, S9.5οE

620.3mph, S85.2οE

How many triangles are there that satisfy

the conditions a=13, b=6 and A =61ο?

0

2

not possible

1

Given a triangle with a=14, A=41ο, and B=34ο
What is the length of c?
 21.6

20.6

19.6

22.6

5.3

28.1

14.1

10.6

What is the length of a?

Given a triangle with

b=7, c=9 and A=36ο

B
40ο
9
Solve ∆ABC
A
60ο
(round to the nearest degree or

nearest tenth in length)

C

<A =

a =
b =
ο
B
a=19, b=20, C=63ο

Determine whether ∆ABC should be solved

using Law of Sines of Law of Cosines.

A
C

Law of Cosines

Law of Sines

B
Solve......

A

19
(round to nearest degree or
nearest tenth in length)
63ο
20
C
<A =

<B =

c =
ο
ο
B
A=90ο, b=9, a=18

Determine whether ∆ABC should be solved

using Law of Sines of Law of Cosines.

A
C

Law of Cosines

Law of Sines

B
A=90ο, b=9, a=18

Solve ∆ABC.....

A
C
c=15.6, C=60ο, B=30ο
c=15.6, B=60ο, C=30ο
c=15.6, B=61ο , C=29ο 
c=15.6, C=61ο , B=29ο

Find the area of the triangle with

a=15ft, b=22ft and C=30ο.

142.9

82.2

165

285.8

  sq ft

sq ft

sq ft

 sq ft

Find the area of the triangle with

a=10ft, b=4ft and c=12ft.

15.7

18.7

20.7

19.7

 sq ft

sq ft

sq ft
sq ft
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