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Questions 19 and  20 require an understanding of the word "bearing". Here is an interactive that helps us understand what a bearing is and how to measure it. 

Practice Questions

1
Finding the Unknown Angles
In each case calculate the indicated measure. Give angles to the nearest degree and sides to the nea...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
6
Answers
6
Author
AVP
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14172
2
Solving Unknown Sides and Angles
A mine shaft which slopes at an angle of 19^\circ to the horizontal is driven into a hillside fo...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14173
3
Solving Unknown Sides and Angles
In a yacht race over a triangular course the instructions are:"Sail due west to a buoy 6 km away, th...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14174
4
Solving Unknown Sides and Angles
The diagonal of a rectangle is 35\text{ cm} long and makes an angle of 58^\circ with the sho...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14175
5
Solving Unknown Sides and Angles
From the top of a building a surveor determines the angle of depression of a parked car on the stree...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14176
6
Solving Unknown Sides and Angles
A pendulum 65 cm long swings through an angle of 40^\circ. Calculate the distance, to the neares...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14177
7
Solving Unknown Sides and Angles
Solve triangle ABC giving each measure correct to the n...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14178
8
Shadow Of A Pylon
A pylon 23.7 m high casts a shadow 46.8 m long. Determine the angle of elevation of the sun ...
Question Type
Short Answer
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14179
9
Solving Unknown Sides and Angles
Solve triangle RST.  Give all sides correct to the nearest tenth and all angles correct to the ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14180
10
Solving Unknown Sides and Angles
Solve triangle DEF in which angle DEF=90^\circ, angle EDF=50^\circ and ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14183
11
Solving Unknown Sides and Angles
Why is it not possible to solve \triangle PQR in which ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14185
12
Solving Unknown Sides and Angles
Match each item in List 1 on the left with the equivalent item in List 2 on the right. Each item in ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14187
13
Solving Unknown Sides and Angles
On a sunny day, the Eiffel Tower, 1063 ft high, casts a shadow on the ground. A tourist stands at th...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14190
14
Solving Unknown Sides and Angles
In the diagram, AB is a diameter of a circle. \angle CAB=38^\circ and CB=7.1\text{ cm}. ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14193
15
Solving Unknown Sides and Angles
A boat is 300\text{ m} away from the foot of a cliff. The angle of elevation from the boat to th...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14194
16
Solving Unknown Sides and Angles
A totem pole is being placed in a 2 metre deep hole in the ground. Two ropes attached to the top of ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
3
Answers
3
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14196
17
Solving Unknown Sides and Angles
Judy is 60 m south of a main east-west highway. She looks to her right and sees a motor bike rider a...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14198
18
Solving Unknown Sides and Angles
A ship sails from a port A on a bearing of 030^\circ for 22\text{ miles} to a marker ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
5
Answers
5
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14200
19
Solving Unknown Sides and Angles
A plane starts from a point P and flies 240\text{ km} on a bearing of 120^\circ to Q....
Question Type
Multiple Choice
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14201
20
Solving Unknown Sides and Angles
A plane starts from a point P and flies 240\text{ km} on a bearing of 120^\circ to Q....
Question Type
Multiple Choice
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14202
21
Solving Unknown Sides and Angles
A set of stairs has a vertical rise of 16\text{ cm} for every 27\text{ cm} horizontal run.Th...
Question Type
Short Answer
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14203
22
Solving Triangles
Determine the length of PQ, to the nearest ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
4
Answers
4
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14208
23
Solving Triangles
Determine the measure of angle ABC, to the...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14210
24
Solving Triangles
Two trees in a park are 14.80 metres apart. An observer, whose eyeline is 1.80 m above the ground, i...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14212
25
Solving Triangles
The angle of elevation from the top of the Pie Hotel to the top of the Sigma Office Building is ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14213
26
Solving Triangles
From the top of a cliff 110\text{ m} high, an observer sees two boats, one directly behind the o...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14214
27
Solving Triangles
The diagram shows two marathon runners, A and B, heading towards the finish line of a race. ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
2
Answers
2
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14215
28
Solving Triangles
In the diagram, ABCD, represents a rectangular sandbox for kindergarten children to play in. A t...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14216
29
Solving Triangles
In order to find the height of a tree on the opposite bank of a river, Jenny makes the measurements ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14217
30
Solving Triangles
A rectangular prism has dimensions 15\text{ m},\ 20\text{ m},\text{ and }25\text{ m} as shown. T...
Question Type
Multiple Choice
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14218
31
Solving Triangles
In the diagram, AB=28\text{ m},\ DE=21\text{ m},\ BD=71\text{ m}, and angle BAC=55^\circ.To ...
Question Type
Solve for a Variable(s)
Suggested Grade Level
10
Parts
1
Answers
1
Author
AVP
This question doesn't have enough attempts to show the question stats yet.
14219