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TANGENT RATIOTANGENT RATIO
CHAPTER 7CHAPTER 7
Section 4Section 4
Jim Smith JCHS
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A
B C
HYPOTENUSE
LEG
LEG
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A
B C
106
8
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4 3
5X Y
Z
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TANGENT =
OPPOSITE LEGADJACENT LEG
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A
B C
24
7
25
TAN OF A = 7
24
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A
B C
24
7
25
24
7TAN OF C =
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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
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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
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3
X
43
1) 2)
18
X
27
3)7 X
39
4)
13 X
55
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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
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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