Right Triangle Trigonometry A B C SOHCAHTOA. Geometry - earth measurement Trigonometry - triangle measurement Sine of an angle = Opposite leg Hypotenuse.

Slides:

Advertisements

Similar presentations

Trigonometry Right Angled Triangle. Hypotenuse [H]

Advertisements

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems

Right Triangle Trigonometry Day 1. Pythagorean Theorem Recall that a right triangle has a 90° angle as one of its angles. The side that is opposite the.

Right Triangle Trigonometry

8 – 6 The Sine and Cosine Ratios. Sine and Cosine Suppose you want to fine the legs, x and y, in a triangle. You can’t find these values using the tangent.

5/5/ : Sine and Cosine Ratios 10.2: Sine and Cosine Expectation: G1.3.1: Define the sine, cosine, and tangent of acute angles in a right triangle.

Geometry 9.5 Trigonometric Ratios May 5, 2015Geometry 9.5 Trigonometric Ratios w/o Calculator2 Goals I can find the sine, cosine, and tangent of an acute.

Trigonometry and Angles of Elevation and Depression CHAPTER 8.4 AND 8.5.

Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.

Chapter 6: Trigonometry 6.2: Trigonometric Applications

1 Right Triangle Trigonometry.. opposite hypotenuse adjacent hypotenuse adjacent opposite reference angle Anatomy of a Right Triangle.

6.2 Trigonometric Applications

EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

Right Triangle Trigonometry Section Objectives I can use Special Triangle Rules I can identify how the 6 trig functions relate to the memory aide.

 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs  a 2 + b 2 = c 2 a, leg.

Trigonometry. Logarithm vs Natural Logarithm Logarithm is an inverse to an exponent log 3 9 = 2 Natural logarithm has a special base or e which equals.

Geometry Notes Lesson 5.3A – Trigonometry T.2.G.6 Use trigonometric ratios (sine, cosine, tangent) to determine lengths of sides and measures of angles.

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.

Honors Geometry Sections 10.1 & 10.2 Trigonometric ratios

Wednesday: Warm-up Draw a unit circle and label all the key angles in degrees. You also need a calculator for today! 1.

Use the 3 ratios – sin, cos and tan to solve application problems. Solving Word Problems Choose the easiest ratio(s) to use based on what information you.

Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.

Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.

Geometry tan A === opposite adjacent BC AC tan B === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

THE NATURE OF GEOMETRY Copyright © Cengage Learning. All rights reserved. 7.

Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.

Use the 3 ratios – sin, cos and tan to solve application problems. Solving Word Problems Choose the easiest ratio(s) to use based on what information you.

Geometry Section 9.5 Trigonometric ratios. The word “trigonometry” comes from two Greek words which mean ___________________ And that is exactly what.

TRIGONOMETRY Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle.

TRIGONOMETRY BASIC TRIANGLE STUDY: RATIOS: -SINE -COSINE -TANGENT -ANGLES / SIDES SINE LAW: AREA OF A TRIANGLE: - GENERAL -TRIGONOMETRY -HERO’S.

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

Basic Trigonometry Jeopardy

Right Triangle Trigonometry Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 The six trigonometric functions of a.

Warm up Find the missing side.. Skills Check CCGPS Geometry Applications of Right Triangle Trigonometry.

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

UNIT 5: TRIGONOMETRY Final Exam Review. TOPICS TO INCLUDE  Pythagorean Theorem  Trigonometry  Find a Missing Side Length  Find a Missing Angle Measure.

© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 10 Geometry.

Objective: Students will be able to… Use the sine, cosine, and tangent ratios to determine missing side lengths and angle measures in a right triangle.

1. From a point 80m from the base of a tower, the angle of elevation is 28˚. How tall is the tower? x 28˚ 80 Using the 28˚ angle as a reference, we know.

Section 5-4 Applying Trig Functions Objective: Students will be able to use trigonometry to find the measures of the sides of right triangles.

Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.

Lesson 9-3: Angles of Elevation & Depression Angle of depression Angle of elevation Height Horizontal.

4.3 Right Triangle Trigonometry Trigonometric Identities.

Parts of a Right Triangle A B C Leg Hypotenuse Acute Angle Right Angle Acute Angle R e m e m b e r t h a t t h e h y p o t e n u s e i s a l w a y s t.

Agenda/Objectives Check/go over homework Show the tan -1, cos -1, sin -1 buttons Notes on 8.7 Worksheet problems Prepare for CORE ASSESSMENT.

Daily Check Find the measure of the missing side and hypotenuse for the triangle.

Trigonometry Mini-Project Carlos Velazquez 6/4/13 A block.

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.

TRIGONOMETRIC RATIOS The Trigonometric Functions we will be looking at SINE COSINE TANGENT.

Solving Equations with Trig Functions. Labeling a right triangle A.

PreCalculus 7-R Unit 7 Trigonometric Graphs Review Problems.

Lesson 9.9 Introduction To Trigonometry Objective: After studying this section, you will be able to understand three basic trigonometric relationships.

[8-3] Trigonometry Mr. Joshua Doudt Geometry pg

Unit 6 Trigonometry Review Problems

Date: Topic: Trigonometric Ratios (9.5). Sides and Angles x The hypotenuse is always the longest side of the right triangle and is across from the right.

How to use sine, cosine, and tangent ratios to determine side lengths in triangles. Chapter GeometryStandard/Goal: 2.2, 4.1.

Section 9.5: Trigonometric Ratios. trigonometric ratio – a ratio of the lengths of two sides of a right triangle. The three basic trigonometric ratios.

Geometry 9.5 Trigonometric Ratios.

Warm Up Find the missing side. 67o 10 x.

Geometry 9.5 Tangent Ratio

Warm Up Use the following triangles: Find a if b = 10√2

Right Triangles Trigonometry

Geometry 9.5 Trigonometric Ratios.

CHAPTER 10 Geometry.

Let’s Get It Started ° 60° A B C

Geometry 9.5 Trigonometric Ratios

Angles of Elevation and Depression

Trigonometry Word Problems

Unit 5: Trigonometry Final Exam Review.

Presentation transcript:

Right Triangle Trigonometry A B C SOHCAHTOA

Geometry - earth measurement Trigonometry - triangle measurement Sine of an angle = Opposite leg Hypotenuse Cosine of an angle = Adjacent leg Hypotenuse Tangent of an angle = Opposite leg Adjacent leg

1. Label the sides Opposite, Adjacent, or Hypotenuse as needed. 2. Decide which trigonometric function to use: sine, cosine, or tangent based on #1. 3. Write your equation in this format: Sin or Cos or Tan Angle = O or A or O H H A

Angles of Elevation

An ant at a point 10 m from the base of a tree uses a 58  angle of elevation to sight the tree’s top. Find the height of the tree. 58  10 m x

Baby Bop is flying a kite and has let out 80 m of string. The angle of elevation with the ground is 40 . If the string is stretched straight, how high is the kite above the ground? 40  80 m

Angles of Depression From the top of an offshore oil rig, 130 feet above sea level, the angle of depression of a passing ship is 32°. Find the distance between the ship and the base of the oil rig. 32°

A scout on top of a 1500 ft. mountain spots a campsite. If he measures the angle of depression at 33°, how far is the campsite from the foot of the mountain? 33° 1500 ft

A blimp is hovering over the center of a stadium at an altitude of 800 ft. If the radius of the base of the stadium is 1200 ft. What is his angle of depression to sight the back wall of the stadium?