TANGENT RATIOTANGENT RATIO

CHAPTER 7CHAPTER 7

Section 4Section 4

Jim Smith JCHS

A

B C

HYPOTENUSE

LEG

LEG

A

B C

106

8

4 3

5X Y

Z

TANGENT =

OPPOSITE LEGADJACENT LEG

A

B C

24

7

25

TAN OF A = 7

24

A

B C

24

7

25

24

7TAN OF C =

USING THE TANGENT USING THE TANGENT RATIORATIO

X

6

55

OPP

ADJ

3) X = 8.56 or 8.6

1) TAN OF 55 = X 6

1

2) 1.4281 =

X 6

2.7474 X

2.747470

18

x

OPP

ADJ

1) TAN OF 70 =

3)

4) X = 6.6

18

X

18

X

2.7474=2)

18=

1

2.7474

3

X

43

1) 2)

18

X

27

3)7 X

39

4)

13 X

55

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

REMEMBERREMEMBERSET 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