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Law of Sines & Cosines Quiz: Solving Triangles Beyond Right Angles

Practice solving triangles using Law of Sines and Law of Cosines. Understand how to apply these formulas, find areas of triangles, and solve real-world problems.

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Law of Sines & Cosines Quiz: Solving Triangles Beyond Right Angles

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  1. Algebra II Honors(Pre-Calculus) 6.1, 6.2: Law of Sines & Cosines Quiz 6.1-6.2: Tues, 5/29

  2. Solving triangles (other than right triangles) The formula you choose depends on the information you are given. • Law of Sines • Law of Cosines B c a A C b

  3. Solve the triangle with the following: B c a A C b

  4. Solve the triangle with the following: B c a A C b

  5. Solve the triangle with the following: B c a A C b

  6. Solve the triangle with the following: B c a A C b

  7. Solve the triangle with the following: B c a A C b

  8. Do Now: Solve the triangle with the following. B c a A C b

  9. Area of a Triangle B c a Heron’s Formula A C b

  10. Find the area of the triangle: B c a A C b

  11. Find the area of the triangle: B c a A C b

  12. Find the area of the triangle: B c a A C b

  13. Find the area of the triangle: B c a A C b

  14. Example Forest Ranger Rich is at an observation point A along a straight road. He observes a fire in the direction 32o east of north. Forest Ranger Sara is at a second observation point B 10 miles due east of Rich. Sara sights the same fire 48o west of north. Find the distance from each ranger to the fire and find the shortest distance from the fire to the road.

  15. Example In major league baseball, the four bases form a square whose sides are 90 feet. The front edge of the pitching rubber on which the pitcher stands, is 60.5 feet from home plate. a.) Find the distance from the front edge of the pitching rubber to 1st base. b.) Find the measure of the angle formed by 1st base, the pitching rubber and home plate.

  16. Example The course for a boat race starts at a point and proceeds in the direction S52oW to a point B, and in the direction S40oE to point C, and finally back to point A. The point C lies 8 km directly south of point A. What is the length of the total course?

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