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8.4 Angles of Elevation and Depression.notebook 1 February 25, 2019 Warm Up: Solve for x. 1. 2.

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Page 1: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

1

February 25, 2019

Warm Up: Solve for x.1.

2.

Page 2: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Learning Goal: Today I will learn about angles of elevation and depression.

Success Criteria: I am able to correctly label angles of elevation and depression.

Page 3: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

8.4 Angles of Elevation and Depression

Page 4: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Angle of Elevation

The angle from a horizontal line up to an object or feature.

You sight a rock climber on a cliff at a 32 angle of elevation. Your eye level is 6 ft above the ground and you are 1000 feet from the base of the cliff. What is the approximate height of the rock climber from the ground?

YS

Page 5: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Angle of Depression

The angle from a horizontal line down to an object or feature.

To approach runway 17 of Ponca City Municipal Airport in Oklahoma, the pilot must begin a 3 degree decent starting at 1707 feet above the ground. To the nearest tent of a mile, how far from the runway is the airplane at the start of this approach?

Ys

Page 6: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Angle of Elevation and Depression

horizontal lineangle of depression

angle of elevation

horizontal line

Angle of elevation from horizontal line up

Angle of depression from horizontal line down

angle of elevation ≅ angle of depression

Alternate interior angles

Page 7: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

Why?

62oAngle of elevation

Angle of depression

Page 8: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Angle of Elevation and Depressionhorizontal line

horizontal line

angle of depression

angle of elevation

Page 9: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

Angle of Elevation and Depression

Page 10: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

ExampleDescribe each angle as it relates to the situation.

Page 11: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

ExampleA rescue worker is located 175 ft above the ground in a lighthouse. He spots a ship on the water at an angle of depression of 62o. How far from the base of the lighthouse is the ship? Round to the nearest foot.

175 ft

x

62o

62o

Page 12: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

8.4 Angles of Elevation and Depression.notebook

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February 25, 2019

ExampleYou are standing 53 ft from a wind turbine. Your angle of elevation to the hub of the turbine is 56.5o. Your eye level is 5.5ft from the ground. How tall is the wind turbine?

Page 13: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

Closure: Today I learned how to label the angle of elevation and depression.

Page 14: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

Quiz on Block Day!

Page 15: 8.4 Angles of Elevation and Depression.notebook · 2019. 2. 25. · 8.4 Angles of Elevation and Depression.notebook 5 February 25, 2019 Angle of Depression The angle from a horizontal

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February 25, 2019

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