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Angle of Elevation/Depression

Learn how to apply trigonometric ratios—sine, cosine, and tangent—to solve practical problems involving angles of elevation and depression. This lesson guides you in using these ratios to determine lengths and areas in right triangles and related figures. Utilize calculators and tables effectively to evaluate trigonometric ratios. Through engaging examples, such as determining the height of a tree or the distance between a plane and a tower, discover how to use trigonometry to calculate distances in real-world scenarios.

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Angle of Elevation/Depression

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  1. Angle of Elevation/Depression 9.3.4.2 Apply the trigonometric ratios sine, cosine and tangent to solve problems, such as determining lengths and areas in right triangles and in figures that can be decomposed into right triangles. Know how to use calculators, tables or other technology to evaluate trigonometric ratios.

  2. Guiding Question: How can I use trig to calculate distances? • Lesson Obj: IWBAT find distances in situations using sin, cos, or tan. • Angle of Elevation: looking up from below • Angle of depression: looking down from above

  3. Guiding Question: How can I use trig to calculate distances? • The airplane is looking down so it has the angle of depression. The tower is looking up so it has the angle of elevation. • Ex. If the angle of elevation is and the airplane is 200 miles away, what is the exact distance from the tower to the plane?

  4. Guiding Question: How can I use trig to calculate distances? The man is standing 40 ft. away from the tree and is forming a angle of elevation with the top. How tall is the tree?

  5. Guiding Question: How can I use trig to calculate distances? • The light house forms a angle of depression with the ship and the ship is 2,000 yards away, how much higher is the light house than the ship?

  6. Guiding Question: How can I use trig to calculate distances? • If the plane takes off right now, what angle of elevation does it need to clear the building?

  7. Guiding Question: How can I use trig to calculate distances? • Assignment: Angle of Elevation and Depression Packet

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