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Math 11 Foundations LG 10 Unit 2 Practice Test #2


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Solve for the unknown side length. Round your answer to one decimal place.

mc001-1.jpg
a.
4.1
b.
4.7
c.
5.6
d.
5.1
 

 2. 
In DDEF, ÐD = 61°, d = 23.9 cm, and ÐE = 38°.
Determine the length of side e to the nearest tenth of a centimetre.
a.
16.8 cm
b.
16.0 cm
c.
17.6 cm
d.
18.4 cm
 

 3. 
In DXYZ, ÐX = 51°, x = 7.0 cm, and ÐZ = 41°.
Determine the length of side y to the nearest tenth of a centimetre.
a.
11.0 cm
b.
10.0 cm
c.
9.0 cm
d.
8.0 cm
 

 4. 
Determine the length of EF to the nearest centimetre.

mc004-1.jpg
a.
84 cm
b.
82 cm
c.
88 cm
d.
86 cm
 

 5. 
In DDEF, d = 23.9 cm, e = 16.8 cm, and f = 27.0 cm.
Determine the measure of ÐD to the nearest degree.
a.
54°
b.
64°
c.
58°
d.
61°
 

 6. 
In DXYZ, x = 18 cm, y = 14 cm, and z = 17 cm.
Determine the measure of ÐY to the nearest degree.
a.
47°
b.
43°
c.
45°
d.
49°
 

 7. 
How you would determine the indicated angle measure, if it is possible?
mc007-1.jpg
a.
the sine law
b.
not possible
c.
primary trigonometric ratios
d.
the cosine law
 

 8. 
How you would determine the indicated side length, if it is possible?
mc008-1.jpg
a.
the cosine law
b.
primary trigonometric ratios
c.
not possible
d.
the sine law
 

 9. 
Calculate tan 25° to four decimal places. Predict another term that equals tan 20°.
a.
 0.4663; –tan 155°
b.
0.4663; tan 155°
c.
–0.4663; tan 155°
d.
–0.4663; –tan 155°
 

 10. 
Which law could you use to determine the unknown angle in this triangle?
mc010-1.jpg
a.
the sine law only
b.
neither the sine law nor the cosine law
c.
the cosine law only
d.
the sine law and the cosine law
 

 11. 
Determine the unknown angle to the nearest degree.
mc011-1.jpg
a.
30°
b.
113°
c.
107°
d.
34°
 

 12. 
Determine the unknown side length to the nearest centimetre.
mc012-1.jpg
a.
2.5 cm
b.
1.8 cm
c.
2.3 cm
d.
2.0 cm
 

 13. 
Determine the unknown side length to the nearest centimetre.
mc013-1.jpg
a.
6.1 cm
b.
6.5 cm
c.
5.9 cm
d.
6.8 cm
 

 14. 
Determine the unknown side length to the nearest centimetre.
mc014-1.jpg
a.
11.4 cm
b.
10.8 cm
c.
12.0 cm
d.
12.2 cm
 

 15. 
In DPQR, ÐP = 18°, q = 4.5 m, and r = 6.0 m.
Which statement is true for this set of measurements?
a.
This is not a SSA situation.
b.
This is a SSA situation; no triangle is possible.
c.
This is a SSA situation; only one triangle is possible.
d.
This is a SSA situation; two triangles are possible.
 

 16. 
In DJKL, ÐJ = 115°, k = 6.2 m, and j = 5.5 m.
Which statement is true for this set of measurements?
a.
This is not a SSA situation.
b.
This is a SSA situation; no triangle is possible.
c.
This is a SSA situation; only one triangle is possible.
d.
This is a SSA situation; two triangles are possible.
 

 17. 
Which would you use to determine the indicated angle measure?
mc017-1.jpg
a.
primary trigonometric ratios
b.
the sine law only
c.
the cosine law only
d.
the sine law or the cosine law
 

 18. 
Determine the indicated angle measure to the nearest degree.
mc018-1.jpg
a.
101°
b.
106°
c.
111°
d.
116°
 

 19. 
Determine the indicated side length to the nearest tenth of a centimetre.
mc019-1.jpg
a.
8.0 cm
b.
8.5 cm
c.
9.0 cm
d.
cannot be determined
 

 20. 
Determine the indicated side length to the nearest tenth of a metre.
mc020-1.jpg
a.
5.1 m
b.
6.5 m
c.
8.0 m
d.
cannot be determined
 

Short Answer
 

 21. 
Solve for the unknown angle measure. Round your answer to the nearest degree.

sa021-1.jpg
 

 22. 
Determine the measure of q to the nearest degree.

sa022-1.jpg
 

 23. 
Determine the unknown side length to the nearest tenth of a centimetre.
sa023-1.jpg
 

 24. 
What law or property would you use to determine the indicated side length?
sa024-1.jpg
 

 25. 
What law or property would you use to determine the indicated angle measure?
sa025-1.jpg
 

Problem
 

 26. 
A radio tower is supported by two wires on opposite sides. On the ground,
the ends of the wire are 235 m apart. One wire makes a 75° angle with the ground.
The other makes a 55° angle with the ground.

Draw a diagram of the situation. Then, determine the length of each wire to the nearest metre. Show your work.
 

 27. 
Determine, to the nearest centimetre, the perimeter of the triangle.

pr027-1.jpg
 

 28. 
A pilot leaves Eton Lake Airport and flies to Foxford at a constant speed of 450 km/h. She knows that the distance from Dundalk to Eton Lake is 1350 km N40°W and the distance from Dundalk to Foxford is 880 km S75°W.
Determine the duration of the flight, to the nearest minute.
 

 29. 
A building is observed from two points, P and Q, that are 134.0 m apart. The angle of elevation is 35° at P and 27° at Q. Sketch the situation. Determine the height of the building to the nearest tenth of a metre.
 

 30. 
A canoeist leaves the dock and paddles toward a buoy 220 m away. After reaching the buoy, he changes directions and paddles another 180 m. From the dock, the angle between the buoy and the canoeist’s current position measures 35°. How far is the canoeist from the dock? Give two possible answers. Show your work.
 



 
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