LEQ: What is the process used to determine the measure of an angle given its sine, cosine, or tangent?

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Presentation transcript:

LEQ: What is the process used to determine the measure of an angle given its sine, cosine, or tangent?

 Example: cos θ =.899 ◦ To find the angle measure, undo cos…how?  Take the inverse…what you do to one side you must do to the other ◦ cos -1 (cos θ) = cos -1 (.899) ◦ θ = 25.97°

 The angle between the observer’s horizontal line of sight and the line of sight to the object Angle of elevation Angle of depression

 A person on top of a building finds that there is a 28° angle of depression to the head of a 6-foot tall assistant. If the assistant is 40 feet from the building, how tall is the building? ◦ To find x, use a trig ratio ◦ Since you need to find the side opposite the angle when you know the side adjacent to the angle, use tangent 6 ft40 ft 28° x h

 Lesson Master 10-2A #1-7, 9, 10

 Pgs #3-5, 8-11, 13-17