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8.3 Solving Right Triangles

8.3 Solving Right Triangles. Examples:. Use the trigonometric ratio to determine which angle of the triangle is  A. Examples:. Use the given trigonometric ratio to determine which angle of the triangle is  A. Examples:.

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8.3 Solving Right Triangles

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  1. 8.3 Solving Right Triangles

  2. Examples: • Use the trigonometric ratio to determine which angle of the triangle is A.

  3. Examples: • Use the given trigonometric ratio to determine which angle of the triangle is A.

  4. Examples: • Use the given trigonometric ratio to determine which angle of the triangle is A. tan A = 1.875

  5. Solving Right Triangles: • If you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.

  6. Examples: • Use your calculator to find each angle measure to the nearest degree. • cos-1(0.87) • sin-1(0.85) • tan-1(0.71) • tan-1(0.75) • cos-1(0.05) • sin-1(0.67)

  7. Solving Right Triangles: • Solving a triangle: finding all unknown side lengths and angle measures.

  8. Examples • Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

  9. Examples • Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

  10. Examples: • The coordinates of the vertices of ∆PQR are P(–3, 3), Q(2, 3), and R(–3, –4). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

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