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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)
10
Parts
6
6
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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)
10
Parts
1
1
Author
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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)
10
Parts
2
2
Author
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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)
10
Parts
1
1
Author
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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)
10
Parts
1
1
Author
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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)
10
Parts
1
1
Author
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7
Solving Unknown Sides and Angles
Solve triangle $ABC$ giving each measure correct to the n...
Question Type
Solve for a Variable(s)
10
Parts
1
1
Author
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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
10
Parts
1
1
Author
AVP
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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)
10
Parts
1
1
Author
AVP
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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)
10
Parts
1
1
Author
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11
Solving Unknown Sides and Angles
Why is it not possible to solve $\triangle PQR$ in which ...
Question Type
Solve for a Variable(s)
10
Parts
1
1
Author
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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)
10
Parts
1
1
Author
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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)
10
Parts
1
1
Author
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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)
10
Parts
2
2
Author
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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)
10
Parts
2
2
Author
AVP
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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)
10
Parts
3
3
Author
AVP
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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)
10
Parts
1
1
Author
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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)
10
Parts
5
5
Author
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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
10
Parts
1
1
Author
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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
10
Parts
1
1
Author
AVP
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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
10
Parts
1
1
Author
AVP
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22
Solving Triangles
Determine the length of $PQ,$ to the nearest ...
Question Type
Solve for a Variable(s)
10
Parts
4
4
Author
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23
Solving Triangles
Determine the measure of angle $ABC,$ to the...
Question Type
Solve for a Variable(s)
10
Parts
2
2
Author
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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)
10
Parts
2
2
Author
AVP
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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)
10
Parts
2
2
Author
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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)
10
Parts
1
1
Author
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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)
10
Parts
2
2
Author
AVP
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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)
10
Parts
1
1
Author
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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)
10
Parts
1
1
Author
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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
10
Parts
1
1
Author
AVP
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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)