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12.4 Tangent Ratio

Notes # ____. 12.4 Tangent Ratio. Vocabulary. trigonometry : the study of the properties of triangles trigonometric ratio : ratio of measures of two sides of a right triangle

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12.4 Tangent Ratio

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  1. Notes # ____ 12.4Tangent Ratio

  2. Vocabulary trigonometry : the study of the properties of triangles trigonometric ratio: ratio of measures of two sides of a right triangle tangent: in a right triangle, the ratio of the leg opposite the acute angle to the leg adjacent to the acute angle

  3. Definition B hypotenuse leg opposite A A C leg adjacent to A

  4. Ex 1 Find tan A and tan B. B 41 9 A C 40

  5. Ex 2 Find tan P and tan Q. Q 5 3 P R 4

  6. Tangents with Angle Measurements Ex 3 Find the measurement of DF. The tangent of an angle depends on the angle, not the size of the triangle. E 70 45 m F D

  7. Ex 4 Find the measurement of QR. P 55 20 m R Q

  8. Angles of Elevation and Depression Find the measurement of DF. Applications of trigonometry may include these angles angle of depression angle of elevation

  9. Ex 5 Find the height of the tree C B 40 100 ft 5 ft A

  10. Ex 6 Find the angle of elevation. arctangent is the same as inverse tangent C 10 ft B 48 ft A

  11. Ex 7 Find the angle of depression. C 760 ft B 5000 ft A

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