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Lesson 7-5 - Lesson 7-5 Application of Trigonometry Angles...

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Lesson 7-5 Application of Trigonometry Angles of Elevation and Depression
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5-Minute Check on Lesson 7-4 5-Minute Check on Lesson 7-4 Transparency 7-5 Click the mouse button or press the Space Bar to display the answers. Space Bar to display the answers. 1. Use a graphing calculator to find tan 54°. Round to the nearest ten- thousandth. 1. Find m B to the nearest tenth of a degree if cos B = 0.8926 and B is an acute angle. Find x. Round the nearest tenth. 3. 4. 5. 6. What is the value of tan Θ? 13 9 36° 24 x 59° 18.5 x Standardized Test Practice: A C B D 13 Θ 5 12 --- 5 12 --- 13 5 --- 12 5 --- 13 1.3764 26.8° 14.1 46.2° 30.8
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Trig Definitions S in (angle) = C os (angle) = T an (angle) = O pposite ---------------- H ypotenuse A djacent ---------------- H ypotenuse O pposite ---------------- A djacent S - O - H C - A - H T - O - A
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θ hypotenuse A B C Main Trig Functions: Others: Sin Csc Cos Sec Tan Cot Use trig functions to help find a missing side in a right triangle. Format: some side Trig Function ( an angle , θ for example) = ----------------------- some other side where the some side or the some other side is the missing side (variable, like x) Use inverse trig functions to help find a missing angle in a right triangle. Format: some side Trig Function -1 (-------------------------) = missing angle , θ for example some other side where the trig function -1 is found using 2 nd key then the trig function on calculator Anatomy of a Trig Function
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Angles of Elevation and Depression Since the two horizontal lines are parallel, by Alternate Interior Angles the angle of depression must be equal to the angle of elevation. Bottom Horizontal Top Horizontal Line of Sight Angle of Elevation Angle of Depression
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Angles of Depression or Elevation Step 1: Draw this triangle to fit problem
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