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Section 8.1: Right Triangle Trigonometry: Applications and Section 8.2: Law of Sines Copyright © 2013 Pearson Education, Inc. All rights reserved.

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Presentation on theme: "Section 8.1: Right Triangle Trigonometry: Applications and Section 8.2: Law of Sines Copyright © 2013 Pearson Education, Inc. All rights reserved."— Presentation transcript:

1 Section 8.1: Right Triangle Trigonometry: Applications and Section 8.2: Law of Sines Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Objectives Find the value of trigonometric functions of acute angles using right triangles. Use the complementary angle theorem. Solve right triangles. Solve applied problems. Solve SAA or ASA triangles. Solve SSA triangles.

3 Copyright © 2013 Pearson Education, Inc. All rights reserved

4 50° Copyright © 2013 Pearson Education, Inc. All rights reserved

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7 A surveyor can measure the width of a river by setting up a transit at a point C on one side of the river and taking a sighting of a point A on the other side. After turning through an angle of 90°at C, the surveyor walks a distance of 200m to point B. Using the transit at B, the angle θ is measured and found to be 20°. What is the width of the river rounded to the nearest meter? 200m x θ C A B

8 Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Oblique Triangle (None of the angles is a right angle) Copyright © 2013 Pearson Education, Inc. All rights reserved

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14 SSA --- The Ambiguous Case Copyright © 2013 Pearson Education, Inc. All rights reserved

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23 Homework 8.1 #9, 13, 29, 39, 50, 76 8.2 # 9, 11, 17, 19, 25-31 odd


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