Geo (H) 8.5 Angles of Elevation & Depression.notebook · Geo (H) 8.5 Angles of Elevation &...

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Geo (H) 8.5 Angles of Elevation & Depression.notebook 1 January 27, 2015 Apr 2311:22 AM 8.5 Angles of Elevaon & Depression Objecves: 1. You will be able to solve problems involving angles of elevaon & depression. 2. You will be able to use <s of elevaon & depression to find the distance between 2 objects. Angles of Elevation An angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward. Angles of Depression An angle of depression is the angle between the line of sight whenan observer looks downward, and the horizontal. Why is the angle of depression the same as the angle of elevaon? angle of elevation angle of depression horizontal line of sight horizontal line of sight sight line

Transcript of Geo (H) 8.5 Angles of Elevation & Depression.notebook · Geo (H) 8.5 Angles of Elevation &...

Page 1: Geo (H) 8.5 Angles of Elevation & Depression.notebook · Geo (H) 8.5 Angles of Elevation & Depression.notebook 2 January 27, 2015 Apr 2311:46 AM An airplane is flying at a height

Geo (H) 8.5 Angles of Elevation & Depression.notebook

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8.5 Angles of Elevaon & DepressionObjecves:1. You will be able to solve problems involving angles of elevaon & depression.2. You will be able to use <s of elevaon & depression to find the distance between 2 objects. 

Angles of ElevationAn angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward.

Angles of DepressionAn angle of depression is the angle between the line of sight when an observer looks downward, and the horizontal.

Why is the angle of depression the same as the angle of elevaon?

angle of elevation

angle of depression horizontal line of sight

horizontal line of sight

sight line

Page 2: Geo (H) 8.5 Angles of Elevation & Depression.notebook · Geo (H) 8.5 Angles of Elevation & Depression.notebook 2 January 27, 2015 Apr 2311:46 AM An airplane is flying at a height

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An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?

A building is 50 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of the building is 41º. How far is the observer from the base of the building?

Steps for Problem Solving1st:  Draw a diagram.2nd: Define your variable.3rd:  Set up your equaon.4th:  Solve using algebra.5th:  Declare answer with        correct label.

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Vernon is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line.  Vernon's position is 154 meters above sea level, and the angles of depression to the two dolphins are 35o and 36o.  Find the distance between the two dolphins to the nearest meter.

V

D1 D2

35o

35o

36o

36o

154

Page 4: Geo (H) 8.5 Angles of Elevation & Depression.notebook · Geo (H) 8.5 Angles of Elevation & Depression.notebook 2 January 27, 2015 Apr 2311:46 AM An airplane is flying at a height

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8.5 p.583 

#4,8,9,12,16,20,21

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