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Warm-Up 8/14. Rigor: You will learn the six trigonometric functions and how to use them to solve problems. Relevance: You will be able to solve real.

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Presentation on theme: "Warm-Up 8/14. Rigor: You will learn the six trigonometric functions and how to use them to solve problems. Relevance: You will be able to solve real."— Presentation transcript:

1 Warm-Up 8/14

2

3 Rigor: You will learn the six trigonometric functions and how to use them to solve problems. Relevance: You will be able to solve real world right triangle trigonometry problems using the six trigonometric functions.

4 4-1b Right Triangle Trigonometry

5 TX p222

6 Applications: -Line of sight: line from observer’s eye to object -Angle of elevation: object is above horizontal, angle between line of sight and horizontal -Angle of depression: object is below horizontal, angle between line of sight and horizontal

7 Example 6: The chair lift at a ski resort rises at an angle of 20.75° while traveling up the side of a mountain and attains a vertical height of 1200 feet when it reaches the top. How far does the chair lift travel up the side of the mountain? opp hyp The chair lift travels about 3387 feet up the side of the mountain.

8 Example 7: A sightseer looks down into a deep canyon using binoculars. The angles of depression to the far bank and near bank of the river below are 61° and 63°, respectively. If the canyon is 1250 feet deep, how wide is the river? 61° 63° 1250 ft x ft y ft The river is about 56 feet wide.

9 math! 4-1b Assignment: TX p228-229, 42, 45, 56, 57-69 odd Quiz Tomorrow :-)


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