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Students,

Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. 1) State the LAW OF SINES. 2) Find a. Example: No-Solution Case - SSA. C. b = 20 in. a = 18 in. 76 . A. B. Example (SSA):.

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Students,

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  1. Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA.Use your notes if necessary. 1) State the LAW OF SINES. 2) Find a.

  2. Example: No-Solution Case - SSA C b = 20 in a = 18 in 76 A B Example (SSA): Use the Law of Sines to solve the triangle. A = 76, a = 18 inches, b = 20 inches There is no angle whose sine is 1.078. There is no triangle satisfying the given conditions.

  3. Section 6.1, The Ambiguous Case (SSA) Table, pg. 394

  4. Example: Two-Solution Case - SSA C 49.8 b = 12.8 cm a =11.4 cm 72.2 58 A B1 c Example (SSA): Use the Law of Sines to solve the triangle. A = 58, a = 11.4 cm, b = 12.8 cm 10.3 cm C  180 – 58 – 72.2= 49.8 Two different triangles can be formed. Example continues.

  5. Example: Two-Solution Case – SSA continued C 49.8 b = 12.8 cm a =11.4 cm 72.2 58 A B1 c 10.3 cm C 14.2 b = 12.8 cm a = 11.4 cm 58 107.8 A B2 c Example (SSA) continued: Use the Law of Sines to solve the second triangle. A = 58, a = 11.4 cm, b = 12.8 cm B2  180–72.2 = 107.8  C  180 – 58 – 107.8= 14.2 3.3 cm

  6. Area of an Oblique Triangle C Example: a b Find the area of the triangle. A = 74, b = 103 inches, c = 58 inches 74 A B c Area of an Oblique Triangle 103 in 58 in

  7. Application 20 70 34 14 Application: A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 14 with the horizontal. The flagpole casts a 16-meter shadow up the slope when the angle of elevation from the tip of the shadow to the sun is 20. A B Flagpole height: b 16 m C The flagpole is approximately 9.5 meters tall.

  8. Complete each identity.

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