Holt McDougal Geometry 8-3 Solving Right Triangles 8-3 Solving Right Triangles Holt GeometryHolt McDougal Geometry.

Slides:



Advertisements
Similar presentations
Solving Right Triangles Essential Question How do I solve a right triangle?
Advertisements

trigonometry trigonometric ratio sine cosine tangent inverse sine
Trigonometric Ratios Warm Up Lesson Presentation Lesson Quiz 11.4/5
Holt McDougal Geometry Trigonometric Ratios Warm Up Write each fraction as a decimal rounded to the nearest hundredth Solve each equation
Solving right triangles. Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b. 3. If b = 6 and c = 10, find.
Solving Right Triangles
8.3 Solving Right Triangles
EXAMPLE 1 Use an inverse tangent to find an angle measure
Solving Right Triangles
8-2 Trigonometric Ratios Warm Up Lesson Presentation Lesson Quiz
Holt Geometry 8-3 Solving Right Triangles Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. Objective.
8.3 2/21/13 & 2/25/13. Bell Work Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b. 3. If b = 6 and c = 10, find.
Friday, February 5 Essential Questions
8-2 Trigonometric Ratios Holt Geometry.
8-2 Trigonometric Ratios Holt McDougal Geometry Holt Geometry.
Write each fraction as a decimal rounded to the nearest hundredth.
8-2 Trigonometric Ratios Holt McDougal Geometry Holt Geometry.
Solving Right Triangles
Law of Sines
Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.
Chapter 7.7 Notes: Solve Right Triangles Goal: You will use inverse tangent, sine, and cosine ratios to determine the unknown angle measures of right triangles.
Solving Right Triangles
Warm-Up Find each length. Round to the nearest tenth. 5. CB 6. AC 6.1
13.7 I NVERSE T RIGONOMETRIC F UNCTIONS Algebra II w/ trig.
Holt McDougal Geometry 8-5 Law of Sines and Law of Cosines 8-5 Law of Sines and Law of Cosines Holt GeometryHolt McDougal Geometry.
Solving Right Triangles
Holt Geometry 8-3 Solving Right Triangles Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b. 3. If b =
Warm up. Review for chapter test Chapter 4 Understanding Trigonometric Functions Language Objectives: We will learn more about trigonometric functions.
Solving Right Triangles
Solving Right Triangles Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.
Warm-Up Write the sin, cos, and tan of angle A. A BC
Holt McDougal Geometry 8-5 Law of Sines and Law of Cosines 8-5 Law of Sines and Law of Cosines Holt GeometryHolt McDougal Geometry.
Warm – up Find the sine, cosine and tangent of angle c.
Holt McDougal Geometry 8-2 Trigonometric Ratios Warm Up Write each fraction as a decimal rounded to the nearest hundredth Solve each equation. 3.
8-3 Trigonometry Part 2: Inverse Trigonometric Functions.
Holt McDougal Geometry 8-5 Law of Sines and Law of Cosines Warm Up 1. What is the third angle measure in a triangle with angles measuring 65° and 43°?
Holt McDougal Geometry 8-5 Law of Sines and Law of Cosines 8-5 Law of Sines and Law of Cosines Holt GeometryHolt McDougal Geometry.
Holt Geometry 8-5 Law of Sines and Law of Cosines Warm Up 1. What is the third angle measure in a triangle with angles measuring 65° and 43°? Find each.
Holt McDougal Geometry 8-3 Solving Right Triangles Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b.
Holt Geometry 8-2 Trigonometric Ratios 8-2 Trigonometric Ratios Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
EXAMPLE 1 Use an inverse tangent to find an angle measure Use a calculator to approximate the measure of A to the nearest tenth of a degree. SOLUTION Because.
Holt McDougal Geometry 8-3 Solving Right Triangles 8-3 Solving Right Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson.
San Francisco, California, is famous for its steep streets
Solving Right Triangles
Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c.
Solving Right Triangles
Solving Right Triangles
Solving Right Triangles
Advanced Algebra Trigonometry
Warm Up Use the following triangles: Find a if b = 10√2
Objective Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.
Angles of Elevation and Depression
Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c.
03/03/2014 CH.8.3 Solving Right Triangles
8-3 Solving Right Triangles
Solving Right Triangles
9.6: SOLVING RIGHT TRIANGLES
Solving Right Triangles
Solving Right Triangles
Objective Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems.
Solving Right Triangles
Solving Right Triangles
Law of Sines and Cosines
Example 1: Identifying Angles from Trigonometric Ratios
Warm – up Find the sine, cosine and tangent of angle c.
9.6: SOLVING RIGHT TRIANGLES
LT 8.3: Solving Right Triangles
Geometry Section 7.7.
7.7 Solve Right Triangles Hubarth Geometry.
Solving Right Triangles
Presentation transcript:

Holt McDougal Geometry 8-3 Solving Right Triangles 8-3 Solving Right Triangles Holt GeometryHolt McDougal Geometry

8-3 Solving Right Triangles Warm Up Use ∆ABC for Exercises 1–3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b. 3. If b = 6 and c = 10, find sin B. Find AB. 4. A(8, 10), B(3, 0)

Holt McDougal Geometry 8-3 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.

Holt McDougal Geometry 8-3 Solving Right Triangles Use your calculator to find each angle measure to the nearest degree. A. cos -1 (0.87) B. sin -1 (0.85)C. tan -1 (0.71)

Holt McDougal Geometry 8-3 Solving Right Triangles

Holt McDougal Geometry 8-3 Solving Right Triangles

Holt McDougal Geometry 8-3 Solving Right Triangles

Holt McDougal Geometry 8-3 Solving Right Triangles

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles 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.

Holt McDougal Geometry 8-3 Solving Right Triangles The coordinates of the vertices of ∆RST are R(–3, 5), S(4, 5), and T(4, –2). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Holt McDougal Geometry 8-3 Solving Right Triangles A highway sign warns that a section of road ahead has a 7% grade. To the nearest degree, what angle does the road make with a horizontal line?

Holt McDougal Geometry 8-3 Solving Right Triangles Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree

Holt McDougal Geometry 8-3 Solving Right Triangles 3. The coordinates of the vertices of ∆MNP are M (–3, –2), N(–3, 5), and P(6, 5). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.