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14-3 Right Triangles and Trigonometric Ratios

14-3 Right Triangles and Trigonometric Ratios. Today’s Objective: I can solve problems using trigonometric ratios. Trigonometric Ratios for a Right Triangle. hyp. opp. opp. hyp. hypotenuse. hyp. opposite. adj. adj. hyp. θ. adj. opp. opp. a djacent. adj.

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14-3 Right Triangles and Trigonometric Ratios

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  1. 14-3Right Triangles andTrigonometric Ratios Today’s Objective: I can solve problems using trigonometric ratios.

  2. Trigonometric Ratios for a Right Triangle hyp opp opp hyp hypotenuse hyp opposite adj adj hyp θ adj opp opp adjacent adj In ∆ABC, is a right angle and , find cosA, cot A and sin B. 12 B 13 13 12 5 5 A 12 C 12 13

  3. Trigonometric Ratios for a Right Triangle In ∆ABC, is a right angle and a = 5 and c = 13, what is ? 5 B 13 13 5 A C What is ? 4 B 10 10 4 A C

  4. The largest glass pyramid at Louvre in Paris has a square base. The angle formed by each face and the ground is 49.7°. How high is the pyramid? m • What is the distance from the center of the base to the top? m m • What is the distance from a corner of the base to the top?

  5. An airplane’s angle of descent into the airport is 3°. If the airplane begins its descent at an altitude of 5000 feet, what is its straight-line distance to the airport in miles? feet miles 3° 5000 feet p. 924: 7-23 odds, 18 3°

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