Introduction Objective: Solve real life situation problems using Right Triangle Trigonometry. Duration/Mode: 90mins/Student-centered Instructions: -Solve.

Slides:



Advertisements
Similar presentations
Right Triangle in Real Life (An Application to Right Triangle Trigonometry) The concept of the right triangle, blah, blah, blah… Have you Experienced.
Advertisements

Angles of Elevation and Depression
Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems
Trigonometry Marlie Diggs-McMahon A. Carter September 5, 2012.
Right Triangle Trigonometry
Review Homework.
The Trigonometric Functions we will be looking at SINE COSINE TANGENT.
Jeopardy Pythagor- who? What’s your angle? Today’s Special What’s your sine? Word Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.
Unit 35 Trigonometric Problems Presentation 1Finding Angles in Right Angled Triangles Presentation 3Problems using Trigonometry 2 Presentation 4Sine Rule.
Problem Solving with Right Triangles
Introduction Objective: Solve real life situation problems using Right Triangle Trigonometry. Duration/Mode:45mins/Student-centered Instructions: -click.
Applications Using Trigonometry Angles of Elevation and Depression.
Geometry 8.5 STEPS to Solving Trig WORD PROBLEMS 1. Make a DRAWING.
Fasten your seatbelts A small plane takes off from an airport and rises at an angle of 6° with the horizontal ground. After it has traveled over a horizontal.
Unit 2 Review Questions.
Jeopardy Word Trig Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200
TRIGONOMETRY Lesson 3: Solving Problems Involving Right Triangles.
How do I use Trigonometry to solve word problems?
C HAPTER 9.10 TRIGONOMETRIC RATIOS By: Arielle Green Mod 9.
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.
RIGHT TRIANGLE TRIG WORD PROBLEM ANSWERS. PROBLEMS 1The known data for a right triangle ABC is a = 5 m and B = 41.7°. Solve the triangle. 2 The known.
Chapter 7 – UQ: How do you solve for missing sides and angles in a non-right triangle?
Chapter 2 Trigonometry. § 2.1 The Tangent Ratio TOA x Hypotenuse (h) Opposite (o) Adjacent (a) x Hypotenuse (h) Opposite (o) Adjacent (a) Hypotenuse.
Applications of Right Triangles LG: I can apply my knowledge of right triangles to solve problems based on realistic situations.
Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.
Application problems.
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.
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.
Involving right triangles
8-4 Angles of elevation and depression. Objectives Solve problems involving angles of elevation and angles of depression.
Right Triangle Trigonometry Pre-Calculus Lesson 4.3.
1. If sin  = 5/12, then find cos (90 –  ). (Hint draw a picture, label it, then simplify your fraction answer.) 2. If tan  = 3/7, then find tan (90.
Warmup Find the lengths of the sides marked with a variable in each problem below. Show work! 48 y x 42 x y  y.
Numerical Trigonometry. Trigonometry Trigonometric ratios used with right triangles.
Warm up Find the missing side.. Skills Check CCGPS Geometry Applications of Right Triangle Trigonometry.
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!
Click the mouse button or press the Space Bar to display the answers.
5.8 Problem Solving with Right Triangles Angle of elevation horizontal line of sight Angle of depression line of sight.
SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)
Ch 8 Review Questions. Pythagorean Theorem Find the missing side 15 x 30.
Lesson 3: Solving Problems Involving Right Triangles
Warm Up 1. Identify the pairs of alternate interior angles. 2 and 7; 3 and 6.
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.
Daily Check Find the measure of the missing side and hypotenuse for the triangle.
TRIGONOMETRIC RATIOS The Trigonometric Functions we will be looking at SINE COSINE TANGENT.
Solving Equations with Trig Functions. Labeling a right triangle A.
Page To get home from school you walk through a park. The park is 400 m long by 90 m wide. You walk from the southwest corner to the northeast corner.
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.
Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ.
Section 9 – 3 Section 9 – 3 Angles of Elevation & Depression Objectives: To use angles of elevation and depression to solve problems.
9.2 Notes: Solving Right Triangles. What does it mean to solve a right triangle? If we are asked to solve a right triangle, we want to know the values.
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.
10.3 Solving Right Triangles
Grade 10 Academic (MPM2D) Unit 5: Trigonometry Slope and Angle (Elevations & Depressions) Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.
Grade 10 Academic (MPM2D) Unit 5: Trigonometry Applications of the Trigonometric Ratios 2 Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.
Triangle Starters Pythagoras A | Answers Pythagoras B | B Answers
CHAPTER 10 Geometry.
Chapter 9 Right Triangles and Trigonometry
Secondary Math II 9.5 Applications.
Warm-Up Where would the following words go in this right triangle?
Y10 Triangle Starters Pythagoras A | Pythagoras A Answers
5 Trigonometric Functions Copyright © 2009 Pearson Addison-Wesley.
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Objective Solve problems involving angles of elevation and angles of depression.
Angles of Elevation and Depression
Right Triangle Trigonometry
Trigonometry Word Problems
Involving law of sines/cosines
Chapter 8 Review Name:_______________ Hour: _______ GEOMETRY
Presentation transcript:

Right Triangle in Real-Life An Application to Right Triangle Trigonometry

Introduction Objective: Solve real life situation problems using Right Triangle Trigonometry. Duration/Mode: 90mins/Student-centered Instructions: -Solve what is asked in the problems on a separate sheet of paper. - Create a PPT, Go Animate, Prezi, or other approved media to create your own word problem using Right Triangle Trigonometry.

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 over a horizontal distance of 600m, what is the altitude of the plane to the nearest meter? x 800m 6°

Solution: 6° 800m x Let x = the altitude of the plane as it travels 800m horizontally Since we have the values of an acute angle and its adjacent side, we will use x 800m 6°

Let us solve Answer: The altitude of the plane after it has traveled over a horizontal distance of 800m is 84m.

Let us solve some problems Sail away A ship sailed from a port with a bearing of S22°E. How far south has the ship traveled after covering a distance of 327km? x 327km 22°

Emergency!!! A ladder on a fire truck can be turned to a maximum angle of 70° and can be extended to a maximum length of 25m. If the base of the ladder is mounted on the fire truck 2m above the ground, how high above the ground will the ladder reach? 2m 25m 70°

Good Morning From the tip of a shadow by the vertical object such as a tree, the angle of elevation of the top of the object is the same as the angle of elevation of the sun. What is the angle of elevation of the sun if a 7m tall tree casts a shadow of 18m? Θ 7m 18m

Happy Landing A plane is flying at an altitude of 1.5km. The pilot wants to descend into an airport so that the path of the plane makes an angle of 5° with the ground. How far from the airport (horizontal distance) should the descent begin? 1.5km 5° x

Must be approved by Mr. Miller before you begin. HW Assignment Make your own Word Problems in Right Triangle Trigonometry. 4 total problems: One each for Sin, Cos, and Tan. 4th problem should involve finding an angle. Present and a complete solutions to each problem using PowerPoint presentation, Prezi, Windows Movie Maker, GoAnimate or other approved media. Must be approved by Mr. Miller before you begin. DUE April 4, 2012 (Wednesday) Assignments can be e-mailed. If using a web based program, then send link. my email: kenneth.miller@eu.dodea.edu

Credits: Basic Trigonometry for SecondarySchool by: Melecio C. Deauna Florita C. Lamayo Pictures: www.aero-marine.ru/All_Start.html www.snapshotz.biz/mfd/ www.bradfitzpatrick.com/stock_illustration/ca. .. members.cox.net/oabd

The end