StudyForge Samples > Chapter 6: Foundations and Pre-Calculus 10 Samples > Lesson 1: Solving Triangles

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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.

1

Finding the Unknown Angles

In each case calculate the indicated measure. Give angles to the nearest degree and sides to the nea...

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2

Solving Unknown Sides and Angles

A mine shaft which slopes at an angle of to the horizontal is driven into a hillside fo...

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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...

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4

Solving Unknown Sides and Angles

The diagonal of a rectangle is long and makes an angle of with the sho...

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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...

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6

Solving Unknown Sides and Angles

A pendulum 65 cm long swings through an angle of Calculate the distance, to the neares...

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7

Solving Unknown Sides and Angles

Solve triangle giving each measure correct to the n...

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8

Shadow Of A Pylon

A pylon m high casts a shadow m long. Determine the angle of elevation of the sun ...

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9

Solving Unknown Sides and Angles

Solve triangle Give all sides correct to the nearest tenth and all angles correct to the ...

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10

Solving Unknown Sides and Angles

Solve triangle in which angle angle and ...

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11

Solving Unknown Sides and Angles

Why is it not possible to solve in which ...

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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 ...

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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...

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14

Solving Unknown Sides and Angles

In the diagram, is a diameter of a circle. and ...

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15

Solving Unknown Sides and Angles

A boat is away from the foot of a cliff. The angle of elevation from the boat to th...

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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 ...

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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...

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18

Solving Unknown Sides and Angles

A ship sails from a port on a bearing of for to a marker ...

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19

Solving Unknown Sides and Angles

A plane starts from a point and flies on a bearing of to ...

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20

Solving Unknown Sides and Angles

A plane starts from a point and flies on a bearing of to ...

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21

Solving Unknown Sides and Angles

A set of stairs has a vertical rise of for every horizontal run.Th...

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22

Solving Triangles

Determine the length of to the nearest ...

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23

Solving Triangles

Determine the measure of angle to the...

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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...

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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 ...

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26

Solving Triangles

From the top of a cliff high, an observer sees two boats, one directly behind the o...

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27

Solving Triangles

The diagram shows two marathon runners, and heading towards the finish line of a race. ...

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28

Solving Triangles

In the diagram, represents a rectangular sandbox for kindergarten children to play in. A t...

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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 ...

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30

Solving Triangles

A rectangular prism has dimensions as shown. T...

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31

Solving Triangles

In the diagram, and angle To ...

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