Trigonometry Angles of Elevation and Depression. Angle of Elevation The angle formed by the horizontal and the line of sight to a point above horizontal.

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Presentation transcript:

Trigonometry Angles of Elevation and Depression

Angle of Elevation The angle formed by the horizontal and the line of sight to a point above horizontal

Angle of Depression The angle formed by the horizontal and the line of sight to a point below horizontal

Example #1 Describe  1 and  2.

Example #2 You sight a rock climber on a cliff at a 32° angle of elevation. The horizontal ground distance to the cliff is 1000 ft. Find the line of sight distance to the rock climber.

Example #3 A surveyor stands 200 ft from a building to measure its height with a 5 ft tall theodolite. The angle of elevation to the top of the building is 35°. How tall is the building?

Example #4 Find the height of the arch.

Example #5 An airplane pilot sights a life raft at a 26° angle of depression. The airplane’s altitude is 3 km. What is the airplane’s surface distance d from the raft?

Example #6 An airplane flying 3500 ft above ground begins a 2° descent to land at an airport. How many miles from the airport is the airplane when it starts its descent?

Example #7 Two buildings are 30 ft apart. The angle of elevation from the top of one to the top of the other is 19°. What is their difference in height?