tangent ratio spi 3108.4.15 spi 3108.4.15 determine and use the appropriate trigonometric ratio for...
TRANSCRIPT
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