Angles of Elevation and Depression Section 8-5. angle of elevation – an angle formed by a horizontal line and the line of sight to an object above the.

Slides:



Advertisements
Similar presentations
The Trigonometric Functions we will be looking at SINE COSINE TANGENT.
Advertisements

Problem Solving with Right Triangles
7.5 Angles of Elevation and Depression.  Solve problems using angles of elevation  Solve problems using angles of depression.
Application of Trigonometry Angles of Elevation and Depression
Angles of Elevation and Depression
Trigonometry and Angles of Elevation and Depression CHAPTER 8.4 AND 8.5.
Angles of Elevation and Depression
Geometry 8.5 STEPS to Solving Trig WORD PROBLEMS 1. Make a DRAWING.
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
8-5 Angles of Elevation & Depression
6.2 Trigonometric Applications
7.5 Angles of Elevation and Depression.  Solve problems using angles of elevation  Solve problems using angles of depression.
Trigonometry CHAPTER 8.4. Trigonometry The word trigonometry comes from the Greek meaning “triangle measurement”. Trigonometry uses the fact that the.
1. Find the sin B, cos B, and tan B. D.N.A. 2. Find the value of x.
8-5 Angles of Elevation and Depression You used similar triangles to measure distances indirectly. Solve problems involving angles of elevation and depression.
Trigonometry and angles of Elevation and Depression
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–4) NGSSS Then/Now New Vocabulary Example 1:Angle of Elevation Example 2:Angle of Depression.
Chapter 9 Right Triangles and Trigonometry
9.6 Use Trig Ratios to Solve 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.
Warm up A.14.1 B.17.4 C.19.4 D.21.3 Find x. Round to the nearest tenth.
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.
Angle of Elevation CIRCUS ACTS At the circus, a person in the audience at ground level watches the high-wire routine. A 5-foot-6-inch tall acrobat is.
Warm up… Page 481 # Angles of Elevation and Depression.
Solving Right Triangle Application We have learned about the ratios for the six trig functions, so what can we do with these? Well we can use them to find.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–4) CCSS Then/Now New Vocabulary Example 1:Angle of Elevation Example 2:Angle of Depression.
Lesson 5 Menu 1.Use a graphing calculator to find tan 54°. Round to the nearest ten-thousandth. 2.Find m  B to the nearest tenth of a degree if cos B.
Trig Test Review 2. 45°-45°-90° 30°-60°-90°
Section 8-7 Applications of Right Triangle Trigonometry.
7.5 Angles of Elevation and Depression What you’ll learn: 1.To solve problems involving the angles of elevation 2.To solve problems involving the angles.
Right Triangles and Problem Solving. Applications: Angles of Elevation and Depression Angle of elevation: the line of sight above the horizontal Angle.
Angles of Elevation and Depression Section 7-5. angle of elevation – an angle formed by a horizontal line and the line of sight to an object above the.
Lesson 9-3: Angles of Elevation & Depression Angle of depression Angle of elevation Height Horizontal.
Angles of Depression and Elevation Anthony Hui Copyright 2015.
Jackie works for an oil company. She needs to drill a well to an oil deposit. The deposit lies 2300 m below the bottom of a lake, which is 150 m deep.
8.4 Angles of Elevation and Depression SOL: G8 Objectives: The Student Will … Solve problems involving angles of elevation Solve problems involving angles.
HONORS GEOMETRY 8.5. Angle of Elevation/Depression Day One.
1.A slide 5.2 meters long makes a 40 o angle with the ground. How high is the top of the slide above the ground? 2. 3.
Lesson 7-6 Application of Trigonometry Angles of Elevation and Depression.
Splash Screen. Then/Now You used similar triangles to measure distances indirectly. Solve problems involving angles of elevation and depression. Use angles.
The Trigonometric Functions we will be looking at
Angles of Elevation and Depression.
8-5 Angles of Elevation and Depression
Basic Trigonometry Sine Cosine Tangent.
Splash Screen.
Homework Answers.
Right Triangle Trig.
Angles of Elevation & Angles of Depression
Splash Screen.
Splash Screen.
Find x and y. Problem of the Day 4.
Devon wants to build a rope bridge between his treehouse and Cheng’s treehouse. Suppose Devon’s treehouse is directly behind Cheng’s treehouse. At.
8 – 5: Angles of Elevation and Depression
Chapter 9 Right Triangles and Trigonometry
Use a calculator to find tan 54°.
8.5: Angles of Elevation and Depression
Angles of Elevation 8-4 and Depression Warm Up Lesson Presentation
Application of Trigonometry Angles of Elevation and Depression
Warm-Up Find the value of x and y using special right triangles. y x
Application of Trigonometry Angles of Elevation and Depression
Trig Ratios C 5 2 A M Don’t forget the Pythagorean Theorem
Angles of Elevation and Depression
Angles of Elevation and Depression
Application of Trigonometry Angles of Elevation and Depression
Application of Trigonometry Angles of Elevation and Depression
Five-Minute Check (over Lesson 8–4) Mathematical Practices Then/Now
Depression and Elevation
A blimp is flying 500 ft above the ground
Presentation transcript:

Angles of Elevation and Depression Section 8-5

angle of elevation – an angle formed by a horizontal line and the line of sight to an object above the level of the horizontal. angle of elevation

angle of depression – an angle formed by a horizontal line and the line of sight to an object below the level of the horizontal. angle of depression

Angle of Elevation CIRCUS ACTS At the circus, a person in the audience at ground level watches the high-wire routine. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground. How far is the audience member from the base of the platform, if the angle of elevation from the audience member’s line of sight to the top of the acrobat is 27°? Make a drawing

Angle of Elevation Make a drawing = Opposite Adjacent = S o:h C a:h T o:a

Angle of Depression adj. hyp. From her treehouse, Joan can look directly into her bedroom window. The angle of depression from the treehouse to the base of her house is. The tree is 10 meters from the base of the house. How far is the treehouse from the base of the house?

A wheelchair ramp is 3 meters long and inclines at 6°. Find the height of the ramp to the nearest tenth of a centimeter. A 0.3 cmB 31.4 cmC 31.5 cmD cm Angle of Depression Opposite x Hypotenuse

Joke Time What is the best state to buy a new soccer uniform in? New Jersey

Why is a football stadium always a cool place to sit? It’s full of fans!

Why did the naval commander’s (Commodore’s) ship sink so fast? He played in Rupp Arena!