 1. Find the trig ratios for <A and <B.  2. Let (-8, 2) be a point on the terminal side of angle M. Write the 3 trig ratios.

Slides:



Advertisements
Similar presentations
Objectives Use trigonometry to solve problems involving angle of elevation and angle of depression.
Advertisements

Angles of Elevation and Depression
Right Triangle Trigonometry
Application of Trigonometry Angles of Elevation and Depression
Drill Find the missing side length of right triangle ABC. Assume side C is the hypotenuse. 1.A = 7, B = 3 2.A = 9, C = 15.
6/10/2015 8:06 AM13.1 Right Triangle Trigonometry1 Right Triangle Trigonometry Section 13.1.
Angles of Elevation and Depression
Angles of Elevation / Depression
Chapter 8: Right Triangles and Trigonometry
Geometry Notes Lesson 5.3B Trigonometry
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.
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.
Mystery Trig Inverse Trig Laws Cos & Sin Trig Word Problems
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 One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: ACT VOCAB CHECK 9.6 Instruction Practice.
8-4 Angles of elevation and depression. Objectives Solve problems involving angles of elevation and angles of depression.
Chapter 8: Right Triangles & Trigonometry
7.2 Finding a Missing Side of a Triangle using Trigonometry
Warm Up Cos(u) = 3/5 0 degrees
Objectives: Evaluate trigonometric functions of acute angles Solve right triangles Use trigonometric functions to model and solve real-life problems.
Warm up Find the missing side.. Skills Check CCGPS Geometry Applications of Right Triangle Trigonometry.
Lesson 13.1 Right Triangle Trigonometry
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 10 Geometry.
Unit 7: Right Triangle Trigonometry
45° a a a a a  2 60° 30° a 2a2a a3a3 Special Triangles Rules.
Lesson 9-3: Angles of Elevation & Depression Angle of depression Angle of elevation Height Horizontal.
Warm Up 1. Identify the pairs of alternate interior angles. 2 and 7; 3 and 6.
Objective To use angles of elevation and depression to solve problems.
Daily Check Find the measure of the missing side and hypotenuse for the triangle.
Bell Assignment: Label the unit circle Applying Trig Functions.
 1. Find the trig ratios for
Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ.
6.2 Trig of Right Triangles Part 2. Hypotenuse Opposite Adjacent.
6.2 Trig of Right Triangles Part 1. Hypotenuse Opposite Adjacent.
LEQ: How can you use trigonometry of right triangles to solve real life problems?
Lesson 7-6 Application of Trigonometry Angles of Elevation and Depression.
An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line. In the diagram, 1 is the angle of elevation.
Sect. 9.5 Trigonometric Ratios Goal 1 Finding Trigonometric Ratios Goal 2 Using Trigonometric Ratios in Real Life.
5.2 Trigonometric Ratios in Right Triangles. A triangle in which one angle is a right angle is called a right triangle. The side opposite the right angle.
Solving Word Problems Use the 3 ratios – sin, cos and tan to solve application problems. Choose the easiest ratio(s) to use based on what information you.
Angles of Elevation and Depression.
Objectives Use trigonometry to solve problems involving angle of elevation and angle of depression.
Basic Trigonometry Sine Cosine Tangent.
10.3 Solving Right Triangles
Geometry Warm ups #3 a) Show the Trig. Ratio set up and then b)
Right Triangle Trigonometry
15 19 WARM-UP: Find the unknown for each diagram: 42o x 32.
Grade 10 Academic (MPM2D) Unit 5: Trigonometry Slope and Angle (Elevations & Depressions) Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.
Trigonometry QUIZ next class (Friday)
May 9, 2003 Sine and Cosine Ratios LESSON 8-4 Additional Examples
Angles of Elevation and Depression
Warm Up The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ. 7.
Copyright © Cengage Learning. All rights reserved.
Applications of Right Triangles
Bellringer Turn Last week’s Bellringers into the folder on the projector podium Have Worksheet and Notes out on your desk Work on p. 510 #1 – 7.
CHAPTER 10 Geometry.
Application of Trigonometry Angles of Elevation and Depression
Application of Trigonometry Angles of Elevation and Depression
Trig Ratios C 5 2 A M Don’t forget the Pythagorean Theorem
Right Triangle Trigonometry
Objective Solve problems involving angles of elevation and angles of depression.
Angles of Elevation and Depression
Warm up Find the missing side.
Angles of Elevation and Depression
Application of Trigonometry Angles of Elevation and Depression
Solving Word Problems Use the 3 ratios – sin, cos and tan to solve application problems. Choose the easiest ratio(s) to use based on what information.
Warm up Find the missing side.
Hypotenuse hypotenuse opposite opposite adjacent adjacent.
Application of Trigonometry Angles of Elevation and Depression
Presentation transcript:

 1. Find the trig ratios for <A and <B.  2. Let (-8, 2) be a point on the terminal side of angle M. Write the 3 trig ratios.

Sin(D)= Cos(D)= Tan(D)= D 4 √2 7

 Of the sides given (this includes variables), label them as opposite, adjacent, or hypotenuse in reference to the acute angle given.  What trig ratio can you make with these two sides?  Set up the ratio.  Solve for your variable.

 Of the sides given (this includes variables), label them as opposite, adjacent, or hypotenuse in reference to the acute angle we are solving for.  What trig ratio can you make with these two sides?  Set up the ratio.  Solve for your variable.

Solve for m<T

 Line of Sight- horizontal line from the starting point  Angle of Elevation- angle formed from the line of sight UP to a point  Angle of Depression- angle formed from the line of sight DOWN to a point

 You are working the night shift at the lighthouse. Suddenly you notice a fire in the distance! If you are 60 m above ground and you are looking at an angle of depression of 18 ˚. Find the distance between you and the fire.

 The world’s tallest unsupported flagpole is a 282- ft-tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137 ft long. To the nearest degree, what is the angle of elevation of the sun when casting the flagpole’s shortest shadow?

Worksheet