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Geometry with McCarthy

Join Missy McCarthy from Okemos High School in this comprehensive lesson on solving right triangles using trigonometric ratios. You'll learn how to find angle measures and apply these concepts to real-world problems. Discover the significance of trigonometric ratios as the relationship between the sides of right triangles. Through engaging examples, such as calculating the angle of an 8% graded hill in the Tour de France, you will grasp the process of solving triangles by determining all missing sides and angles.

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Geometry with McCarthy

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  1. Section 8-3: Solving right triangles Geometry with McCarthy Missy McCarthy Okemos High School Math Instructor

  2. What you’ll learn Objectives: Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.

  3. What is a trigonometric ratio? A trigonometric ratio is a ratio of two sides of a right triangle.

  4. Example

  5. If you know the sides, can you find the angle? If you know the sine, cosine, or tangent of the angle, you can use an inverse trigonometric function to find the measure of the angle.

  6. Example

  7. Example A hill in the Tour de France bike race has a grade of 8%. To the nearest degree, what is the angle that this hill makes with a horizontal line?

  8. Solving Triangles Solving a triangle means that you need to find all missing sides and missing angles.

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