Angles of Elevation and Depression

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Presentation transcript:

Angles of Elevation and Depression Geometry Unit 10 - Angles of Depression and Elevation Tuesday, March 15 Angles of Elevation and Depression Solve problems involving angles of elevation and angles of depression. Unit 10

Angles of Elevation and Depression An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line. An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line. Unit J

Angles of Elevation and Depression Geometry Unit 10 - Angles of Depression and Elevation Tuesday, March 15 Angles of Elevation and Depression Angle of depression Insert example 1 here. Angle of elevation Unit J Unit 10

Example: Angle of Elevation Geometry Unit 10 - Angles of Depression and Elevation Tuesday, March 15 Example: Angle of Elevation If we know the height of the lighthouse above sea level and the angle of elevation, we can find the distance from the boat to the shore. 200 ft. 15° x In this case, the top of the light-house is 200 feet above sea level, and the angle of elevation is 15°. Insert examples 2 – 4 here. Unit J Unit 10

Key Concepts – Get Organized Angle of Elevation Words An angle formed by a horizontal line and a line of sight to a point above. Diagram Unit J

Key Concepts – Get Organized Angle of Depression Words An angle formed by a horizontal line and a line of sight to a point below. Diagram Unit J

Lesson Quiz – Part I Using the diagram, name each angle type: ∠1 ∠2 ∠3 ∠4 angle of elevation angle of depression angle of depression angle of elevation Unit J

Lesson Quiz – Part II A person snorkeling sees a turtle on the ocean floor at an angle of depression of 38º. She is 14 feet above the ocean floor. How far from the turtle is she? Round to the nearest foot. This angle is also 38°. We will use the sin 38°, since we have the opposite leg and need to find the hypotenuse. → 38° Unit J