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

A B C HYPOTENUSE LEG

TANGENT = OPPOSITE LEG ADJACENT LEG

A B C HYPOTENUSE ADJACENT OPPOSITE Target Angle

A BC HYPOTENUSE Target Angle OPP ADJ

TANGENT OPPOSITE LEG ADJACENT LEG A = =

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

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

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

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

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

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

***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