Copyright © 2011 Pearson, Inc. 4.8 Solving Problems with Trigonometry.

Slides:

Advertisements

Similar presentations

Pre-Calculus Solving Problems With Trigonometry. Using Angle of Depression The angle of depression of a buoy from the top of the Barnegat Bay lighthouse.

Advertisements

Right Triangle Problems

Pre-AP Pre-Calculus Chapter 4, Section 8

Angles of Elevation and Angles of Depression

Section 8.5 ~ Angles of Elevation & Depression!

Right Triangle Trigonometry

4.8 Solving Problems with Trigonometry

Applications Using 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.

Angles of Elevation and Depression

Solving Word Problems Using Trigonometry

By team iPhone.  lesson objectives: In this lesson you will learn what an angle of elevation and an angle of depression is. You will also learn how solve.

Angle of Elevation & Angle of Depression

Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator 52° 32 x 33° 8x 13° x11.

1. A man flies a kite with a 100 foot string

 In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA.

4.8 Solving Problems with Trigonometry. What you’ll learn about More Right Triangle Problems Simple Harmonic Motion … and why These problems illustrate.

Word Problems for Right Triangle Trig. Angle of Elevation: The angle above the horizontal that an observer must look at to see an object that is higher.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 Homework, Page 421 Find the exact value. 1.

Copyright © 2011 Pearson, Inc. 4.8 Solving Problems with Trigonometry.

1. Identify the pairs of alternate interior angles.

Precalculus Unit 2 (Day 12). Knight’s Charge 9/9/15 1. Find the value of θ. 2. Find the value of h. 3. Find the value of z. 4. Find the value of x.

8.7 APPLICATIONS OF RIGHT TRIANGLE TRIGONOMETRY Some critical terminology Horizontal  any line constructed so that it is parallel with the horizon or.

Warm up… Page 481 # Angles of Elevation and Depression.

9-3 Angles of Elevation and Depression

Warm Up Cos(u) = 3/5 0 degrees

Warm-Up: For the right triangle ABC shown below, find the values of b and c. Hint: Hint: Think about the side you know, the side you want to find out,

4.8 Solving Problems with Trigonometry. Quick Review 1. Solve for a. a 3 23 º.

8-4 Angles of Elevation and Depression

WARM UP: What is the sine, cosine, and tangent ratios for <B?

Trigonometry Angles of Elevation and Depression. Angle of Elevation The angle formed by the horizontal and the line of sight to a point above horizontal.

GEOMETRY Describe 1 and 2 as they relate to the situation shown. One side of the angle of depression is a horizontal line. 1 is the angle of depression.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1.

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

An angle of elevation is from a horizontal up. An angle of depression is from a horizontal down. Angle of elevation Angle of depression What do you know.

Trigonometric Functions

Imagine an operator at the top of a lighthouse sees a sailboat on a line that makes an angle of 15° with the horizon. The angle between the horizon and.

BELLWORK Find all side lengths and angle measures. Round lengths to the nearest hundredth and angle measures to the nearest tenth. 35° L M K 12 50° 125.

Holt Geometry 8-4 Angles of Elevation and Depression 8-4 Angles of Elevation and Depression Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Angles of Elevation and Depression

Angles of Elevation and Depression

Objective To use angles of elevation and depression to solve problems.

Chapter 4 Pre-Calculus OHHS. 4.8 Solving Problems with Trigonometry How to use right triangle trigonometry to solve well-known types of problems. 4-8.

1. Solve for a. a 3 23 º  More Right Triangle Problems  Simple Harmonic Motion … and why These problems illustrate some of the better- known applications.

Copyright © 2005 Pearson Education, Inc. Slide 2-1 Solving a Right Triangle To “solve” a right triangle is to find the measures of all the sides and angles.

How can you apply right triangle facts to solve real life problems?

Lesson 8-7 Applications of Right Triangle Trigonometry (page 317) How can trigonometry be used to solve real life problems?

Section 9 – 3 Section 9 – 3 Angles of Elevation & Depression Objectives: To use angles of elevation and depression to solve problems.

HW: Pg , Do Now: 1)Take out your pencil and notebook Objectives: You will be able to apply the concepts of trigonometry to solve real.

Angle of Elevation Angle of Elevation: the angle to which an observer would have to raise their line of sight above a horizontal line to see an object.

Applications of Trig Functions. Angle of Elevation: the angle from the line of sight and upwards. Angle of Elevation Angle of Depression: the angle from.

8.5 Angles of Elevation and Depression

Success Criteria:  I can identify angle of depression or elevation  I can use angles of elevation and depression to solve problems Today’s Agenda Do.

Holt Geometry 8-4 Angles of Elevation and Depression Warm Up 1. Identify the pairs of alternate interior angles. 2. Use your calculator to find tan 30°

Angles of Elevation and Depression.

Right Triangle Trigonometry 4.8

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

10.3 Solving Right Triangles

8-5 Angles of Elevation and Depression

Trigonometry QUIZ next class (Friday)

Objective Solve problems involving angles of elevation and angles of depression.

8.4 Angles of Elevation and Depression

8.5: Angles of Elevation and Depression

Chapter 9 Lesson 3 Objective: To use angles of elevation and depression to solve problems.

Table of Contents 33. Application problems.

Find the missing sides. Round to the nearest tenth

Objective Solve problems involving angles of elevation and angles of depression.

A blimp is flying 500 ft above the ground

8-5 Angles of Elevation and Depression

Angles of Elevation and Depression

Presentation transcript:

Copyright © 2011 Pearson, Inc. 4.8 Solving Problems with Trigonometry

Copyright © 2011 Pearson, Inc. Slide Angle of Elevation, Angle of Depression An angle of elevation is the angle through which the eye moves up from horizontal to look at something above. An angle of depression is the angle through which the eye moves down from horizontal to look at something below.

Copyright © 2011 Pearson, Inc. Slide Example Using Angle of Elevation The angle of elevation from the buoy to the top of the Barnegat Bay lighthouse 130 feet above the surface of the water is 5 º. Find the distance x from the base of the lighthouse to the buoy. 130 x 5º5º

Copyright © 2011 Pearson, Inc. Slide Example Using Angle of Elevation The angle of elevation from the buoy to the top of the Barnegat Bay lighthouse 130 feet above the surface of the water is 5 º. Find the distance x from the base of the lighthouse to the buoy. 130 x 5º5º

Copyright © 2011 Pearson, Inc. Slide Example Making Indirect Measurements From the top of a 100 ft. tall air traffic control tower, an airplane is observed flying toward the tower. If the angle of elevation of the airplane changes from 32º to 10º during the period of observation, and the altitude of the airplane changes from 500 ft to 200 ft, how far does the plane travel?

Copyright © 2011 Pearson, Inc. Slide Example Making Indirect Measurements The figure models the situation.

Copyright © 2011 Pearson, Inc. Slide Chapter Test 5 C 12 α A B

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions 5 C 12 α A B

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions

Copyright © 2011 Pearson, Inc. Slide Chapter Test Solutions