8-4 Angles of Elevation and Depression Objective: To use angles of elevation and depression to solve problems Essential Understanding : You can use the.

Slides:



Advertisements
Similar presentations
Angles of Elevation and Angles of Depression
Advertisements

Applications of Trigonometric Functions
Angles of Elevation and Depression
SOLVING RIGHT TRIANGLES Using your definitions to solve “real world” problems.
Right Triangle Trigonometry Section 4.3. Objectives Calculate any trigonometric function for an angle in a right triangle given two sides of the triangle.
Write and solve an equation to find the value of x.
Angle of Elevation & Angle of Depression
Today – Friday, March 15, 2013  Warm Up: Solving missing sides of right triangles or angles of right triangles  Review Solutions to Angles of Elevation.
9.6 Solving Right Triangles Inverse of the trigonometric functions.
Right Triangle Trigonometry Find the value of trigonometric functions of acute angles Use the complementary angle theorem Solve right triangles Solve applied.
Solving Trig Problems Precal – Section 4.8. Angle of Elevation and Depression The angle of elevation is measured from the horizontal up to the object.
9.6 Use Trig Ratios to Solve Word Problems
Warm-Up 8/14. Rigor: You will learn the six trigonometric functions and how to use them to solve problems. Relevance: You will be able to solve real.
Applications of Right Triangles LG: I can apply my knowledge of right triangles to solve problems based on realistic situations.
8.2 Trigonometric Ratios. Quick Review: What ways can we solve right triangles? 6 9x ⁰ ⁰ ⁰ 10 x ?
A3 5.8 Indirect Measurement HW: p EOO.
Section 5-5: Solving Right Triangles
CHAPTER 8 Right Triangle Trigonometry. 5 Videos to Watch 1) pythagorean-theoremhttp://
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,
8-4: Angles of Elevation and Depression Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios.
WARM UP: What is the sine, cosine, and tangent ratios for <B?
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.
8-4: Angles of Elevation and Depression Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios.
Warm-Up Exercises 1.90º 2. 72º Classify each angle as acute, obtuse, or right º 4. How do you know that 1 = 2? ~ 2 1.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 10 Geometry.
EXAMPLE 3 Find an angle measure SOLUTION STEP 1 Write and solve an equation to find the value of x. Apply the Exterior Angle Theorem. (2x – 5) ° = 70 °
EXAMPLE 1 Classify triangles by sides and by angles Support Beams
How much wetlands? What is the area of the triangular region of wetlands?
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Section 8-7 Applications of Right Triangle Trigonometry.
Right Triangle Trig Applications Angles of Elevation and Depression Dr. Shildneck Fall, 2014.
Trigonometric Functions
Homework Questions. Section 4.2 Mrs. Ramsey.
Trigonometric Ratios Day 12. Day 12 Math Review Objectives Find the sine, cosine, and tangent of an acute angle. Use trigonometric ratios to find side.
Gradient Diagrams Geometry The diagram shows a straight line with the vert/horiz. distances marked on it. Straight line horizontal vertical In each of.
And each angle.
Objective To use angles of elevation and depression to solve problems.
Chapter 4.7 Solutions of Triangles. Trigonometric Functions.
Line of Sight Horizontal An angle formed by a horizontal line and the line of sight to an object above the level of the horizontal. X°
Using Tangent The angle formed by a horizontal line and a line of sight to an object above the horizontal line. You can use the angle of elevation as.
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?
9.6 Solving Right Triangles Unit IIC Day 7. Do Now Find the value of x.
Use trigonometry to find the measures of the sides of right triangles.
Warm-Up Exercises Lesson 4.1, For use with pages º ANSWER right 2. 72º Classify each angle as acute, obtuse, or right. ANSWERacute.
Mrs. King Pre-Calculus Applications of Right Triangles.
Chapter 10 – Topics in Analytic Geometry. Section 10.1 – Lines.
MATH 1330 Section 7.1. Solving Triangles Most smartphone-based calculators will also allow these operations to be completed by turning the phone horizontally.
Lesson 9.1 Right Triangle Trigonometry (Day 2)
10.3 Solving Right Triangles
Geometry Warm ups #3 a) Show the Trig. Ratio set up and then b)
Interior Design Floor Plans And Elevations.
Agenda 2/25/13 1) Bell Work 2) Outcomes
Precal D – Section 8.1 Angles of elevation and depression
Applications of Trigonometric Functions
Trigonometry QUIZ next class (Friday)
Solving Practical Problems Using Trigonometry
Inverse Trigonometric Functions
EXAMPLE 1 Classify triangles by sides and by angles Support Beams
8-3 Solving Right Triangles
CHAPTER 10 Geometry.
Classify each angle as acute, obtuse, or right.
Chapter 4 Section 1.
MATH 1330 Section 7.1.
Recapping: Congruent triangles
Chapter 9 Lesson 3 Objective: To use angles of elevation and depression to solve problems.
MATH 1330 Section 7.1.
This diagram helps explains why angles at a point add to 360o.
MATH 1330 Section 7.1.
Elevation and Depression زوايا الأرتفاع والانخفاض
Presentation transcript:

8-4 Angles of Elevation and Depression Objective: To use angles of elevation and depression to solve problems Essential Understanding : You can use the angles of elevation and depression as the acute angles of right triangles formed by a horizontal distance and a vertical height.

This angle is the angle of elevation.

What is the description of the angle as it relates to the situation shown? The angle of depression from the bird to the person in the hot-air balloon. 3 < The angle of elevation from the base of the mountain to the person in the hot-air balloon. < Angle of elevation from the person in the hot-air balloon to the bird. 2 4 < Angle of depression from the person in the hot-air balloon to the base of the mountain. < 1

What is the description of each angle as it relates to the diagram? 5 < < 1 2 < 3 < 4 < Angle of elevation from C to A Angle of depression from A to C Angle of elevation from A to D Angle of elevation from A to B Angle of depression from B to A p. 519: 9-21 odd (skip 19), Mid Chapter Quiz p.514:1-20 (skip 16)