Angles of Elevation and Depression€¦ · Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of...

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Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of Elevation and Depression Angle of Elevation the angle formed by a horizontal line and the line of sight above the horizontal line. Angle of Depression the angle formed by a horizontal line and the line of sight below the horizontal line. Angle of Elevation Angle of Depression What do we know about the two horizontal lines compared to each other?

Transcript of Angles of Elevation and Depression€¦ · Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of...

Page 1: Angles of Elevation and Depression€¦ · Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of Elevation and Depression Angle of Elevation the angle formed by a horizontal line

Pearson Geometry 8.4.notebook

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Angles of Elevation and Depression

Angle of Elevation ­  the angle formed by a horizontal line and the line of sight  above the horizontal line.

Angle of Depression ­ the angle formed by a horizontal line and the line of sight below the horizontal line.

Angle of Elevation

Angle of Depression

What do we know about the two horizontal lines compared to each other?

Page 2: Angles of Elevation and Depression€¦ · Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of Elevation and Depression Angle of Elevation the angle formed by a horizontal line

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If they are parallel, then what do we know about x and y?

What is the description of the angle as it relates to the situation shown above?

1. 2.

3. 4.

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Suppose you stand 53 ft from a wind farm turbine.  Your angle of elevation to the hub of the turbine is 56.50.  Your eye level is 5.5 feet above the ground.  Approximately how tall is the turbine from the ground to its hub?

a.  What two sides of the right triangle are we using for this problem?

b.  Set up a trigonometric equation in order to solve for x.

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You sight a rock climber on a cliff at a 320 angle of elevation.  Your eye level is 6 feet 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?

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To approach runway 17 of the Ponca City Municipal Airport in Oklahoma, the pilot must begin a 30 descent starting from a height of 2714 ft above sea level.  the airport is 1007 feet above sea level.  To the nearest tenth of a mile, how far from the runway is the airplane at the start of this approach?

How high above the airport does the plane start?

What is the angle of elevation of the airport to the plane?

Write an equation to solve for x.

Page 6: Angles of Elevation and Depression€¦ · Pearson Geometry 8.4.notebook 1 April 18, 2017 Angles of Elevation and Depression Angle of Elevation the angle formed by a horizontal line

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An airplane pilot sights a life raft at a 260 angle of depression.  The airplane's altitude is 3 km.  What is the airplane's horizontal distance d from the raft?

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