TANGENT RATIOTANGENT RATIO

SPI 3108.4.15SPI 3108.4.15  

      Determine and use the appropriate trigonometric Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual ratio for a right triangle to solve a contextual

problemproblem

Jim Smith JCHS

A

B C

HYPOTENUSE

LEG

LEG

TANGENT =

OPPOSITE LEGADJACENT LEG

A

B C

HYPOTENUSE

ADJACENT

OPPOSITE

Target Angle

A

B C

106

8

HYPOTENUSE

Target Angle

OPP

ADJ

TANGENT

OPPOSITE LEGADJACENT LEG

A =8

6

8

6= 1.3333

A

B C

24

7

25

7

24TAN A

=

HYP

Target

OPP

ADJ

O

A

7

24= 0.2917

A

B C

21

16

32

O

ATAN C =

21

16

21

16

HYP

Target

OPP

ADJ

= 1.3125

USING THE TANGENT USING THE TANGENT RATIORATIO

X

6

550

OPP

ADJ

3) X = 8.56 or 8.6

1) TAN 550

= X 6

1

2) 1.4281 =

X 6

2.7474 X

2.7474700

18

x

OPP

ADJ

1) TAN 700

=

3)

4) X = 6.6

18

X

18

X

2.7474=2)

18=

1

2.7474

3

X

430

1) 2)

180

X

27

3)7 X

390

4)

13 X

550

1) TAN 43 = 3 / X .9325 = 3 / X .9325 X = 3 X = 3.2

2) TAN 18 = X / 27 .3249 = X / 27 X = 8.8

3) TAN 39 = X / 7 .8097 = X / 7 X = 5.7

4) TAN 55 = 13 / X 1.4281 = 13 / X 1.4281 X = 13 X = 9.1

******REMEMBERREMEMBER******SET CALCULATORS TO SET CALCULATORS TO DEGREESDEGREES

SHOW ALL STEPSSHOW ALL STEPSTAN RATIOS TO 4 TAN RATIOS TO 4 DECIMAL PLACESDECIMAL PLACES

ROUND ANSWERS TO 1 ROUND ANSWERS TO 1 DECIMAL PLACEDECIMAL PLACE