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8.3 Solving Right Triangles

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Presentation on theme: "8.3 Solving Right Triangles"— Presentation transcript:

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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