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.

Slides:

Advertisements

Similar presentations

Agenda 1) Bell Work 2) Outcomes 3) Trig Ratio Review

Advertisements

International Studies Charter School. Right Triangle Trigonometry

Right Triangle Trigonometry

5/5/ : Sine and Cosine Ratios 10.2: Sine and Cosine Expectation: G1.3.1: Define the sine, cosine, and tangent of acute angles in a right triangle.

Geometry 9.5 Trigonometric Ratios May 5, 2015Geometry 9.5 Trigonometric Ratios w/o Calculator2 Goals I can find the sine, cosine, and tangent of an acute.

Section Review right triangle trigonometry from Geometry and expand it to all the trigonometric functions Begin learning some of the Trigonometric.

Geometry Day 60 Trigonometry II: Sohcahtoa’s Revenge.

TRIGONOMETRY OF RIGHT TRIANGLES. TRIGONOMETRIC RATIOS Consider a right triangle with as one of its acute angles. The trigonometric ratios are defined.

Chapter 9. COMPLETE THE RATIO: Tan x = _____ x.

Right Triangles Page 269 Objective To solve right triangles. To find the missing parts of right triangles using the trig functions.

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.

Right Triangle Trigonometry Trigonometry is based upon ratios of the sides of right triangles. The ratio of sides in triangles with the same angles is.

Unit 2 Review Questions.

 Given that and find the value of the cos θ.  Memorize it!  Quiz 1 st week of 2 nd semester ◦ 8 minute time limit ◦ All or nothing ◦ 20 points 

Section 9-3 Angles of Elevation and Depression SPI 32F: determine the trigonometric ratio for a right triangle needed to solve a real-world problem given.

Chapter 6: Trigonometry 6.2: Trigonometric Applications

8.3 Solving Right Triangles

 In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs  a 2 + b 2 = c 2 a, leg.

 A trigonometric ratio is a ratio of the lengths of 2 sides of a right triangle.  You will learn to use trigonometric ratios of a right triangle to determine.

Sec 6.2 Trigonometry of Right Triangles

Right Triangle Trigonometry

4.3 Right Triangle Trigonometry Pg. 484 # 6-16 (even), (even), (even) –Use right triangles to evaluate trigonometric functions –Find function.

Chapter 4 Trigonometric Functions Right Triangle Trigonometry Objectives:  Evaluate trigonometric functions of acute angles.  Use fundamental.

4.3 Right Triangle Trigonometry

Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.

Math III Accelerated Chapter 13 Trigonometric Ratios and Functions 1.

Geometry tan A === opposite adjacent BC AC tan B === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.

8.2 Trigonometric Ratios. Quick Review: What ways can we solve right triangles? 6 9x ⁰ ⁰ ⁰ 10 x ?

Chapter 13 Sec 1 Right Triangle Trigonometry 2 of 12 Algebra 2 Chapter 13 Section 1 The ratios of the sides of the right triangle can be used to define.

Warm – up Given the following triangle find the missing side lengths

Geometry Section 9.5 Trigonometric ratios. The word “trigonometry” comes from two Greek words which mean ___________________ And that is exactly what.

$100 $200 $300 $400 $500 $200 $300 $400 $500 Geometric mean Pythagorean Thm. Special Right Triangles Law of Sines and Cosines Trigonometry Angles of.

Right Triangle Trigonometry

Section 5.3 Evaluating Trigonometric Functions

Conversion of Radians and Degrees Degree Radian Radians Degrees Example 1Converting from Degrees to Radians [A] 60° [B] 30° Example 2Converting from Radians.

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?

Homework Quiz 4.3 A flagpole stands in the middle of a flat, level field. Fifty feet away from its base a surveyor measures the angle to the top of the.

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.

9.5 Trigonometric Ratios Advanced Geometry.

Agenda 1) Bell Work / Homework Check 2) Outcomes 3) Pop Quiz 4) Notes Trig Ratio.

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

Ratios in Right Triangles Expectations: 1) G1.3.1: Define and use sine, cosine and tangent ratios to solve problems using trigonometric ratios in right.

13.1 Right Triangle Trigonometry

Ratios in Right Triangles

TRIGONOMETRIC FUNCTIONS IN RIGHT TRIANGLES DAY 1: 6 TRIG FUNCTIONS & FINDING SIDES 12.1.

Radical Expressions and Equations. Simplifying Radicals.

9.10 Trigonometric Ratios B A C A B C. Explore 1.Find the sine, cosine, and tangent of

Warm-Up: Solve each equation. Students will define sine, cosine, and tangent ratios in right triangles.

9.5: Trigonometric Ratios. Vocabulary Trigonometric Ratio: the ratio of the lengths of two sides of a right triangle Angle of elevation: the angle that.

Chapter 5: Trigonometric Functions Whiteboard Practice Session Lessons 1, 2, & 4 Mrs. Parziale.

TRIGONOMETRIC RATIOS The Trigonometric Functions we will be looking at SINE COSINE TANGENT.

Speed! Review Game Topic: Trigonometry. 100 pts find sin, cos, tan, csc, sec, and cot.

Trigonometric Functions of Angles 6. Trigonometry of Right Triangles 6.2.

Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ.

Algebra 2 cc Section 7.1 Solve right triangles “Trigonometry” means triangle measurement and is used to solve problems involving triangle. The sides of.

6.2 Trig of Right Triangles Part 2. Hypotenuse Opposite Adjacent.

How to use sine, cosine, and tangent ratios to determine side lengths in triangles. Chapter GeometryStandard/Goal: 2.2, 4.1.

Warm up Find the missing side.. Daily Check Review Homework.

8.5 Angles of Elevation and Depression

Bell Work 1.Find all coterminal angles with 125° 1.Find a positive and a negative coterminal angle with 315°. 1.Give the reference angle for 212°. 1.Find.

Section 9.5: Trigonometric Ratios. trigonometric ratio – a ratio of the lengths of two sides of a right triangle. The three basic trigonometric ratios.

GPS Pre-Calculus Keeper 10

CHAPTER 10 Geometry.

Right Triangle Trigonometry

Angles of Elevation and Depression

GPS Pre-Calculus Keeper 10

Presentation transcript:

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 in right triangles. 2) Determine the exact values of sine, cosine and tangent for various angle measures.

Daily Quiz 5/16: The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 3 / 5. How many feet long is the segment AC? A. A. 6 B. B C. C. 12 D. D. 15 E. E AC 17 B

Angles of Elevation If a situation can be represented by a person looking up, we have an angle of elevation. Angles of elevation are always measured off of the horizontal – never the vertical!!!

Angle of Elevation

Angles of Depression Angles of depression represent situations in which a person looks down. Angles of depression are always measured off of the horizontal – never off of the vertical!!!

Angle of Depression

Charo is 50 feet from a totem pole and looks up at an angle of 75° to see the top of the pole. If Charo is 5 feet tall, how tall is the totem pole?

When measured from a point on the ground that is a certain distance from the base of a cell phone tower, the angle of elevation to the top of the tower is 41°. The height of the cell phone tower is 200 feet. What is the distance, in feet, to the cell phone tower? 41° 200 feet (tower) Distance (?) A.200 tan 41 B.200 sin 41 C.200 cos 41 D.200 sec 41 E.200 cot 41

Betty is at the top of a sledding hill. If she looks down at 32° to see the bottom of the hill and the elevation of the hill is known to be 100 feet, how long is the sled run?

A pilot is flying at an altitude of 2,500 feet. If she can see the beginning of the landing strip by looking down at an angle of 6°, what is the ground distance from the airport?

Daily Quiz 5/ Determine the value of x Determine the value of θ ° x 10 θ 7

Mad Dog McCoy looks up at an angle of 54 degrees to see the top of a flagpole. If she is 30 feet away from the flagpole and she is 5 feet tall, how tall is the flagpole?

Betty is standing on the top of a zip line looking down at Claire at an angle of 18 degrees. If the elevation of the top of the zip line is 65 feet higher than at the bottom, how long is the cable for the zip line?

Assignment pages 423 – 425, # 17 – 27 (odds), 30, 31, 33 a & b, 35 – 43 (odds)