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TANGENT RATIO SPI 3108.4.15 SPI 3108.4.15 Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem Determine.

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Presentation on theme: "TANGENT RATIO SPI 3108.4.15 SPI 3108.4.15 Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem Determine."— Presentation transcript:

1 TANGENT RATIO SPI SPI Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem Jim Smith JCHS

2 A B C HYPOTENUSE LEG

3 TANGENT = OPPOSITE LEG ADJACENT LEG

4 A B C HYPOTENUSE ADJACENT OPPOSITE Target Angle

5 A BC HYPOTENUSE Target Angle OPP ADJ

6 TANGENT OPPOSITE LEG ADJACENT LEG A = =

7 A BC TAN A = HYP Target OPP ADJ O A 7 24 =

8 A BC O A TAN C = HYP Target OPP ADJ =

9 USING THE TANGENT RATIO X OPP ADJ 3) X = 8.56 or 8.6 1) TAN 55 0 = X 6 1 2) = X 6

10 X x OPP ADJ 1) TAN 70 0 = 3) 4) X = X 18 X = 2) 18 =

11 3 X )2) 18 0 X 27 3) 7X ) 13 X 55 0

12 1) TAN 43 = 3 / X.9325 = 3 / X.9325 X = 3 X = 3.2 2) TAN 18 = X / = X / 27 X = 8.8 3) TAN 39 = X / = X / 7 X = 5.7 4) TAN 55 = 13 / X = 13 / X X = 13 X = 9.1

13 ***REMEMBER*** SET CALCULATORS TO DEGREES SET CALCULATORS TO DEGREES SHOW ALL STEPS SHOW ALL STEPS TAN RATIOS TO 4 DECIMAL PLACES TAN RATIOS TO 4 DECIMAL PLACES ROUND ANSWERS TO 1 DECIMAL PLACE ROUND ANSWERS TO 1 DECIMAL PLACE


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