Trigonometry. sin, cos, or tan ? 32m x 24 sin, cos, or tan ? x 13 35.

Slides:

Advertisements

Similar presentations

91031 Sample. Question 1 The triangle FGH is part of the frame for a climbing net. HF=4.4m and the distance along the ground, HG=6.2m.

Advertisements

Unit 35 Trigonometric Problems Presentation 1Finding Angles in Right Angled Triangles Presentation 3Problems using Trigonometry 2 Presentation 4Sine Rule.

Chapter 5 Introduction to Trigonometry 5.8 Solving Problems Using Right Triangle Models and Trigonometry.

Right Triangles Page 269 Objective To solve right triangles. To find the missing parts of right triangles using the trig functions.

Trigonometry: SIN COS TAN or

Calculate: 1) The angle of the ladder to the ground.

4.8 Solving Problems with Trigonometry

Applications Using Trigonometry Angles of Elevation and Depression.

Trigonometry National 4 REL 1.3a REL 1.3b Investigating the Tangent Ratio The Sine Ratio (Finding a length) The Sine Ratio (Finding.

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.

Trigonometry-5 Examples and Problems. Trigonometry Working with Greek letters to show angles in right angled triangles. Exercises.

Y10 Triangle Starters Pythagoras APythagoras A | Pythagoras A AnswersPythagoras A Answers Pythagoras BPythagoras B | Pythagoras B AnswersPythagoras B Answers.

Sine Rule and Cosine Rule Joan Ridgway.

Trigonometry (RIGHT TRIANGLES).

Chapter 6: Trigonometry 6.2: Trigonometric Applications

Our eye level looking ahead is called the horizontal. Angles of Elevation and Angles of Depression angle of elevation angle of depression Horizontal (eye.

How do I use Trigonometry to solve word problems?

The Pythagorean Theorem

Chapter 2 Trigonometry. § 2.1 The Tangent Ratio TOA x Hypotenuse (h) Opposite (o) Adjacent (a) x Hypotenuse (h) Opposite (o) Adjacent (a) Hypotenuse.

Geometry 8-2 Trigonometric Ratios. Vocabulary  A trigonometric ratio is a ratio of two sides of a right triangle.

The Tangent Ratio The Tangent using Angle The Sine of an Angle The Sine Ration In Action The Cosine of an Angle Mixed Problems The Tangent Ratio in Action.

The Beginning of Trigonometry Trigonometry can be used to calculate the lengths of sides and sizes of angles in right-angled triangles. The three formulas:

Trigonometry National 4 REL 1.3a REL 1.3b Investigating the Tangent Ratio The Sine Ratio Trickier Questions Mixed Problems / Exam.

Warm-Up Determine whether the following triangles are acute, right or obtuse. 1. 7, 10, , 8, , 5, 6.

Warmup Find the lengths of the sides marked with a variable in each problem below. Show work! 48 y x 42 x y  y.

Trigonometry Right-Angled triangles. Next slide Previous slide © Rosemary Vellar Challenge 3 angle side angle side angle side 2 1 Labeling sides Why trig?

Using the triangle at T the right, find: 1. Sin T Cos T 7 3. Tan X 4. Cos X V 24 X 5. Using the triangle A 18 B at the right, solve for x. Show work!

2004 Trigonometry. Question 1 A diagram of the water slide at the adventure park is shown below.

Ratios in Right Triangles Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios in right.

Trigonometry Revision. B AC 30 º hypotenuse adjacent opposite.

Ratios in Right Triangles

1.A ladder is leaning against a wall. The top of the ladder is 15ft up the wall. If the angle between the base of the ladder and the ground is 43 degrees,

Ch 8 Review Questions. Pythagorean Theorem Find the missing side 15 x 30.

Pythagoras Theorem Hypotenuse NB

Lesson 1: Trigonometric Functions of Acute Angles Done by: Justin Lo Lee Bing Qian Danyon Low Tan Jing Ling.

OBJ: SWBAT APPLY TRIG FUNCTIONS (8.3) HW (DAY 41): WORKSHEET- ODDS STORYBOOK: “RIGHT TRIANGLES” PEARSONSUCCESS.NET (DUE FRIDAY) WU: WKS (1, 6, 23, 24,

Trigonometry. Starter 10 cm cm cm cm cm.

Date: Topic: Trigonometry – Finding Side Lengths (9.6) Warm-up: A B C 4 6 SohCahToa.

TRIGONOMETRY Sec: 8.3 Sol: G.8  You can use trigonometric ratios to find missing measures of sides AND angles of right triangles.  A ratio of the lengths.

Trigonometry Pythagoras Theorem & Trigo Ratios of Acute Angles.

Sin x = Solve for 0° ≤ x ≤ 720°

Trigonometry means “triangle” and “measurement”. Adjacent Opposite x°x°x°x° hypotenuse We will be using right-angled triangles. The Tan Ratio Trigonometry.

9.5: Trigonometric Ratios. Vocabulary Trigonometric Ratio: the ratio of the lengths of two sides of a right triangle Angle of elevation: the angle that.

Each group starts with £50 Each round, you must decide which question you will answer (£10, £15 or £20) – the higher the stake, the harder the question.

© T Madas Trigonometric Calculations. © T Madas x 16 m 35° tanθ = Opp Adj c tan35° = x 16 c x = c x ≈ 11.2 m x tan35° Trigonometric Calculations S O H.

Lesson 7-6 Application of Trigonometry Angles of Elevation and Depression.

Example: Fasten your seatbelts A small plane takes off from an airport and rises uniformly at an angle of 6° with the horizontal ground. After it has traveled.

10. TRIGONOMETRY Similarity Ratios Sketches Basic Reductions

Chapter 17: Trigonometry

Right Triangle Trig.

Aim: What is trigonometric function?

Applications of Trigonometry

Angles of Elevation & Angles of Depression

Right-angled Trigonometry

8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse.

In the triangle below work out the value of the area.

Trig Functions – Learning Outcomes

Triangle Starters Pythagoras A | Answers Pythagoras B | B Answers

Chapter 2 Review Trigonometry.

Right Angled Trigonometry

Unit 5: Pythagorean Theorem

Y10 Triangle Starters Pythagoras A | Pythagoras A Answers

Aim: What is trigonometric function?

Trig Functions – Learning Outcomes

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

What set of numbers represents the lengths of the sides of a triangle?

Trigonometry Word Problems

Unit 3: Right Trigonometric Ratios

Presentation transcript:

Trigonometry

sin, cos, or tan ? 32m x 24

sin, cos, or tan ? x 13 35

sin, cos, or tan ? x

sin, cos, or tan ? x 30 48

sin, cos, or tan ? x 24 58

sin, cos, or tan ? x

sin, cos, or tan ? x

sin, cos, or tan ? x 31 45

Find the angles marked in each of the following

Find the length of the side marked x

Calculate the angle between the brace and the wall.

Calculate the length of BC

2004 EXAM

Find CD, the height of C above the ground.

Find angle DAC, the angle the support wire, AC, makes with the level ground.

Find EG, the height of the right-hand post.

Find CF, the length of the high-wire.

Find the length of the orienteering course.

2005

Find how far the foot of the ladder will be from the wall, i.e. find SR.

Calculate the length of bracing that will be required, i.e. find HC.

Find the angle the roof makes with the horizontal, i.e. find angle EHD.

FG = 2.8 m. FK = 3.03 m. Find the angle HKF.

Calculate the length of the brace, DJ.

Calculate the length of ladder if it reaches 3.1 m above level ground, ie find XA.

2006

Calculate the distance, AB, sailed by Rewa ’ s boat

Calculate the distance, ED, that Lee ’ s boat is blown off-course down the pool

Calculate the distance HI

Calculate the size of the angle  JKL

Calculate the distance between R and S.

Calculate the length of the rope (TA).

Bearings and vectors and we are done!