9.4 The Tangent Ratio. The Tangent Ratio Example 1: Finding Tangent Ratios Find tan R and tan S. Write as a fraction and a decimal rounded to 4 places.

Slides:



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

8 – 5 The Tangent Ratio.
Bell Ringer.
EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.
Warm-up: Get everything out of your folders! Find the measure of YZ 1.XZ 2.YZ 3.XY
Introduction to Trigonometry This section presents the 3 basic trigonometric ratios sine, cosine, and tangent. The concept of similar triangles and the.
Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
Jeopardy Trig fractions Solving For Angles Solving for Sides Other Trig Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
EXAMPLE 1 Use an inverse tangent to find an angle measure
8-5 Angles of Elevation & Depression
EXAMPLE 2 Find a leg length ALGEBRA Find the value of x. SOLUTION Use the tangent of an acute angle to find a leg length. tan 32 o = opp. adj. Write ratio.
Angles All about Sides Special Triangles Trig Ratios Solving Triangles
Geometry Notes Lesson 5.3B Trigonometry
 A trigonometric ratio is a ratio of the lengths of 2 sides of a right triangle.  You will learn to use trigonometric ratios of a right triangle to determine.
Chapter 7.5 Notes: Apply the Tangent Ratio Goal: To use the tangent ratio to determine side lengths in triangles.
Write each fraction as a decimal rounded to the nearest hundredth.
How do I use the sine, cosine, and tangent ratios to solve triangles?
Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons. These are the inverse functions.) 5.4.
THE NATURE OF GEOMETRY Copyright © Cengage Learning. All rights reserved. 7.
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.
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are getting correct answers:  Sin ( ) = 50°  Cos ( )
Warm – up Given the following triangle find the missing side lengths
Trigonometric Ratios Lesson Table of Trigonometric Ratios The table shows decimal approximations of the ratios for their angles. For example, sin.
Chapter 7 – Right Triangles and Trigonometry
CHAPTER 8 RIGHT TRIANGLES
Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.
8-2 Trigonometric ratios
5.3 Apply the SINE and COSINE ratios We will look at the TANGENT ratio tomorrow!
INVERSE TANGENT GEO200 tan = opposite adjacent  = tan -1 opposite adjacent INVERSE TANGENT: (tan -1 ) finds the measure of the angle of a right triangle.
Warm-Up Determine whether the following triangles are acute, right or obtuse. 1. 7, 10, , 8, , 5, 6.
Geometry A BowerPoint Presentation.  Try these on your calculator to make sure you are obtaining the correct answers:  tan 60° =  cos 25° =
Lesson 13.1 Right Triangle Trigonometry
Unit 7: Right Triangle Trigonometry
Apply the Tangent Ratio 5.2 (M2). Vocabulary Trigonometry: branch of mathematics that deals with the relationships between the sides and angles of triangles.
Splash Screen. Then/Now You used the Pythagorean Theorem to find missing lengths in right triangles. Find trigonometric ratios using right triangles.
Chapter 8: Right Triangles & Trigonometry 8.3 The Tangent Ratio.
8-5 The Tangent Ratio.  Greek for “Triangle Measurement”  You will need to use a scientific calculator to solve some of the problems. (You can find.
Lesson 8-5 The Tangent Ratio (page 305) How can trigonometric ratios be used to find sides and angles of a triangle?
Holt Geometry 8-2 Trigonometric Ratios 8-2 Trigonometric Ratios Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
7.1 Geometric Mean 7.2 Pythagorean Theorem 7.3 Special Right Triangles 7.4 Trigonometry 7.5 Angles of Elevation & Depression 7.6 Law of Sines 7.7 Law of.
Trigonometric Ratios How do you use trig ratios? M2 Unit 2: Day 4.
Section 9.5: Trigonometric Ratios. trigonometric ratio – a ratio of the lengths of two sides of a right triangle. The three basic trigonometric ratios.
How do I use the sine, cosine, and tangent ratios to solve triangles?
Use the tangent of an acute angle to find a leg length.
Find the values of the variables.
Warm-up: Get everything out of your folders!
8-2 Trigonometric Ratios Warm Up Lesson Presentation Lesson Quiz
Warm Up(You need a Calculator!!!!!)
8-4 Trigonometry Ms. Andrejko.
Angles of Elevation and Depression
8-1: The Pythagorean Theorem and its Converse
Geometry Lesson 8 – 4 Trigonometry Objective:
Midterm Math 10 Review Question 20: Answer.
9.5 The Sine & Cosine Ratios
Warm Up Friday, November 23, 2018
GEOMETRY: Chapter Trigonometric Ratios.
Section 12-1a Trigonometric Functions in Right Triangles
NOTES 9.10 Trigonometric Ratios.
Find the values of the variables.
7.5 Apply the Tangent Ratio
The Sine and Cosine Ratios -- Trig Part II
9.5 The Sine & Cosine Ratios
Angles of Elevation and Depression
Warm – up Find the sine, cosine and tangent of angle c.
Find the values of the variables.
Geometry Section 7.7.
Obj: Use tangent to find the length of a side of a right triangle
Solve for the leg and round the nearest tenth.
Trigonometric Ratios using a Calculator
Right Triangles and Trigonometry
Presentation transcript:

9.4 The Tangent Ratio

The Tangent Ratio

Example 1: Finding Tangent Ratios Find tan R and tan S. Write as a fraction and a decimal rounded to 4 places.

You try!

Example 2: Finding a Leg Length Find the value of x and round your answer to the nearest tenth.

Example 3: Using a Special Right Triangle to Find a Tangent

You try!

Angle of Elevation The angle that an upward line of sight makes with a horizontal line is called the angle of elevation.

Example 4: Modeling with Mathematics

You try!