reachback trigonometry

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Day 1.notebook June 28, 2017 Reachback Trigonometry Damien has climbed 18 metres up a tree. He sees Thomas on the ground and calculates the angle of depression to Thomas to be 42°. What is the horizontal distance from Thomas to the base of the tree? Round your answer to the nearest hundredth of a metre. 19.99 m answer

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Page 1: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Reachback ­ TrigonometryDamien has climbed 18 metres up a tree.  He sees Thomas on the ground and calculates the angle of depression to Thomas to be 42°.  What is the horizontal distance from Thomas to the base of the tree?  Round your answer to the nearest hundredth of a metre. 

19.99 manswer

Page 2: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Section 4.2IRRATIONAL NUMBERS

Pages 207-212

Section 4.1Estimating Roots Pages 204-206

Page 3: Reachback  Trigonometry

Day 1.notebook June 28, 2017

These are rational numbers These are irrational numbers

√100

√√

0.25964

3 8

56

0.82

√0.24

√2

13

√93

√124

WHY do we put them in these categories?

Page 4: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Rational Numbers are any numbers that can be written in the form         , where a and b are integers and b ≠ 0.

Rational numbers have terminating or repeating decimals

ab

Irrational Numbers are all numbers that cannot be written in the form     , where a and b are integers and b ≠ 0. a

bIrrational numbers have non-terminating and non-repeating decimals.

Ex: 

Ex: 

Page 5: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Are these numbers rational or irrational?

1  

Û

A

C

B

Page 6: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Natural

Whole

Integers

Rational

Irrational

Real

Page 7: Reachback  Trigonometry

Day 1.notebook June 28, 2017

REAL NUMBER SYSTEM

Rational Numbers Irrational Numbers

Integers... ,­3, ­2, ­1, 0, 1, 2, 3, ...

Whole Numbers

0, 1, 2, 3, 4, 5, ....

Natural Numbers

1, 2, 3, 4, 5, 6, ....

Prime Numbers

2, 3, 5, 7, 11, ...

Composite Numbers4, 6, 8, 9, 12, ...

Page 8: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Page 9: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Û

Page 10: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Page 11: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Page 12: Reachback  Trigonometry

Day 1.notebook June 28, 2017

Û

∛80,   11  ,  √25  ,  ∛64  ,  √40

Place the following numbers in descending order.  Show all your work.

Page 13: Reachback  Trigonometry

Day 1.notebook June 28, 2017

HOMEWORK QUESTIONSPAGES 211-212

DO #'S: 3, 4, 10, 13-15