afm trig test 2.notebook - Mr Jones' Web...
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afm_trig_test_2.notebook 1 April 26, 2012 HW Check Label and copy answers to #s: 4, 7 and 11
Transcript of afm trig test 2.notebook - Mr Jones' Web...
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HW CheckLabel and copy answers to
#s: 4, 7 and 11
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Answers
1) 76.6 ft 2) 1490.5 ft 3) 84.70
4) 342.3 ft 5a) 3.2mi 5b) 3.8 mi
6) 227.6 mi
7) Baker 135.6 mi; Able 143.3 mi
8) 70.8 ft 9) 492.6 ft 10) 71.1 ft
11) 169.5 mi 12) 241.3 ft
Tomorrow's Test~30 questionsAll open ended
Allowed a half sheet (8.5" X 5.5") of paper
Topics• Solving Oblique Triangles
(Using Law of Sines or Law of Cosines)• Finding area of oblique triangles
• Word problems involving oblique triangles
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The Law of Sines
The Law of Cosines
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Formulas For The Area ofA Triangle
Used when?SAS is known
Formulas For The Area ofA Triangle
Used when?All three sides are known
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SolvingObliqueTriangles
Ex 1Solve the oblique triangle using the given
informatio. Round answers to the tenth.
ASA --> Law of Sines
B = 180 - 61 - 12B = 1070
a = 21.0 c = 5.0
Which laws?
First
Finally
Then
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Ex 2Solve the oblique triangle using the given
information. Round answers to the tenth.
SAS --> Law of Cosines
c2 = 162 + 142 2(16)(14)cos(119)c2 = 669.19472c = 25.9
162 = 142 + 25.92 2(14)(25.9)cos A256 = 866.81 725.2cos A0.84226 = cos AA = 32.60
B = 180 119 32.6B = 28.40
Which laws?
First solve for?
Then solve for?
Finish with?
Ex 3Solve the oblique triangle using the given
information. Round answers to the tenth.
ASS --> Law of Sines
Which laws?
First
Then
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Ex 3Solve the oblique triangle using the given
information. Round answers to the tenth.
2nd Possible
First
Ex 4Solve the oblique triangle using the given
information. Round answers to the tenth.
SSS --> Law of Cosines
212 = 122 + 132 2(12)(13)cos(A)441 = 313 312cos(A)128 = 312cos(A)0.41025 = cos(A)A = cos1(0.41025) = 114.20
Which laws?First?
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Ex 4Solve the oblique triangle using the given
information. Round answers to the tenth.
SSS --> Law of CosinesA = 114.20
122 = 212 + 132 2(21)(13)cos(B)144 = 610 546cos(B)466 = 546cos(B)0.85347 = cos(B)B = cos1(0.85347) = 31.40
C = 180 114.2 31.4 = 34.40
Then?
Finally
Ex 5Solve the oblique triangle using the given
information. Round answers to the tenth.
ASS --> Law of Sines
No Triangle
Which laws?
First?
Then?
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Ex 6Solve the oblique triangle using the given
information. Round answers to the tenth.
ASS --> Law of Sines Which laws?
First?
Ex 6Solve the oblique triangle using the given
information. Round answers to the tenth.
ASS --> Law of SinesB = 59.60
= 22.0
And then?
And then?
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Ex 6Solve the oblique triangle using the given
information. Round answers to the tenth.
ASS --> Law of SinesB2 = 120.40
= 11.9
And then?
Finally
FindingArea of
Oblique Triangles
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Finding AreaEx 1 Round answer to the tenth
Area = 64.3
Area = .5 * 10.2 * 16 * sin(52) = 64.30
Finding AreaEx 2 Round answer to the tenth
Area = 19.1
A = 180 - 122 - 20 = 380
b = 12.4 or c = 5.0
Area = .5 * 12.4 * 9 * sin(20) = 19.08or
Area = .5 * 9 * 5.0 * sin(122) = 19.08
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Finding AreaEx 3 Round answer to the tenth
Area = 26.7
s = (6 + 9 + 10)/2 = 12.5
Area = √12.5*(12.5 6)(12.5 9)(12.5 10)
Area = √12.5 * 6.5 * 3.5 * 2.5
Finding AreaEx 4 Round answer to the tenth
Area = 11.8
A = 180 - 25 - 129 = 260
c = 5.4 or a = 5.6
Area = .5 * 10 * 5.4 * sin(26) = 11.83or
Area = .5 * 10 * 5.6 * sin(25) = 11.83
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Suggested Review Material
Review worksheetPrevious quizzes
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