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2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 72 20 x You are 20 feet away from a tree and look up at an angle of 72 0 . How much taller is the tree than you? 10 p 125 and 126 7) 6.17 m 8) 29.44 ft 2)196.61

2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

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Page 1: 2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

2C ­ Lesson 29 ­ Solve Problems with Tangent.notebook March 01, 2018

7220

x

You are 20 feet away from a tree

and look up at an angle of 720.

How much taller is the tree than you?

10

p 125 and 1267) 6.17 m 8) 29.44 ft

2)196.61

Page 2: 2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

2C ­ Lesson 29 ­ Solve Problems with Tangent.notebook March 01, 2018

p 1238

Page 3: 2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

2C ­ Lesson 29 ­ Solve Problems with Tangent.notebook March 01, 2018

How do we know the angle of elevation or depression?

We use a CLINOMETER

Pick a spot to measure the height of.

Look through the straw at that spot.

Teammates need to note the angle from the clinometer.

Measure your eye height and your distance from the base of the object.

Draw a diagram and model the situation as a triangle; solve for x. Don't forget to incorporate your height!

0180

10170

20160

30

15040

140 50

13060

120

70

110

80

100

90

90

180°

100

80

110

70

120

60

130

50

140

40

150

30

16020

170 10

180 0

Reading a clinometer

Page 4: 2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

2C ­ Lesson 29 ­ Solve Problems with Tangent.notebook March 01, 2018

Object:

Team Member Name Eye level height Angle Distance

from object

Object height above eye level

Overall object height

Diagrams:

Up for a challenge? Choose an object BELOW eye level!

Page 5: 2C - Lesson 29 - Solve Problems with Tangent.notebook · 2C Lesson 29 Solve Problems with Tangent.notebook March 01, 2018 How do we know the angle of elevation or depression? We use

2C ­ Lesson 29 ­ Solve Problems with Tangent.notebook March 01, 2018

0180

10170

20160

30150

40140

50

13060

120 70

11080

100

90

90

160°

100

80

110

70

120

60

130

50

140

40

150

30

160

20

170

10

1800

Exit:

Is the clinometer showing an angle of elevation or depression?

What is that angle?