Applications of Trigonometric Functions

Slides:



Advertisements
Similar presentations
Review Homework.
Advertisements

Copyright © 2009 Pearson Education, Inc. CHAPTER 6: The Trigonometric Functions 6.1The Trigonometric Functions of Acute Angles 6.2Applications of Right.
b Trigonometry
Mrs. Rivas Mid-Chapter Check Point Pg # 1-32 All.
Laws of Sines and Cosines Sections 6.1 and 6.2. Objectives Apply the law of sines to determine the lengths of side and measures of angle of a triangle.
Applications of Trigonometric Functions
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.
Right Triangle Trigonometry Section 4.3. Objectives Calculate any trigonometric function for an angle in a right triangle given two sides of the triangle.
Chapter 5 Trigonometric Functions
Review Homework.
5.2 Applications of Right Triangles Wed Oct 22 Do Now Find the 6 trig values for 30 degrees.
TRIGONOMETRY Lesson 3: Solving Problems Involving Right Triangles.
February 7 th copyright2009merrydavidson Happy Birthday to: Madison Bynum 1/27 Nick Arnold 1/30 Dana Barber 2/6 Krystal Carmona 2/6.
Pythagorean Theorem As posted by: oints/math/pythagorean.html.
How tall Giraffe!!! Pick a partner!
Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.
14-3 Right Triangles and Trigonometric Ratios
Applications & Models MATH Precalculus S. Rook.
Section 9.5 Navigation & Surveying
b Trigonometry
Applications of Trigonometric Functions. Solving a right triangle means finding the missing lengths of its sides and the measurements of its angles. We.
Section 9.2 The Law of Sines. THE LAW OF SINES or c a b α β γ.
April 5th copyright2009merrydavidson
Warm Up 1.) A triangle has the following sides/angle. How many triangles can be formed?
Section 6.2 Applications of Right Triangles Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Chapter 4 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Applications of Trigonometric Functions.
When solving a right triangle, we will use the sine, cosine, and tangent functions, rather than their reciprocals.
Section 4.8 Notes. 1 st Day Example 1 Find all unknown values in the figure, where A = 20° and b = 15. (Round to two decimal places.) c b a C A B.
Right Triangle Trigonometry
16. LAW OF SINES AND COSINES APPLICATIONS. EXAMPLE A 46-foot telephone pole tilted at an angle of from the vertical casts a shadow on the ground. Find.
Do Now: A golf ball is launched at 20 m/s at an angle of 38˚ to the horizontal. 1.What is the vertical component of the velocity? 2.What is the horizontal.
Lesson 3: Solving Problems Involving Right Triangles
Objective To use angles of elevation and depression to solve problems.
Answer: o 50 o 178 m X Solve for Side X in (meters): meters.
PreCalculus 10-R Unit 10 – Trigonometric Applications Review Problems.
PreCalculus 6-R Additional Topics in Trigonometry Unit 6 Review Problems.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Applications of Trigonometric Functions.
Solve for the missing side length.. A forest ranger spots a fire from the top of a look-out tower. The tower is 160 feet tall and the angle of depression.
Section 4.1 Right Triangle Trigonometry. Find values of trigonometric functions for acute angles of right triangles. Solve right triangles. Mastery Objectives.
9.6 Solving Right Triangles Unit IIC Day 7. Do Now Find the value of x.
Mrs. King Pre-Calculus Applications of Right Triangles.
Right Triangle Trigonometry 4.8
Right Triangle Trigonometry
Applications of Right Triangles
4.1 – Right Triangle Trigonometry
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
8.4 Trigonometry- Part II Inverse Trigonometric Ratios *To find the measure of angles if you know the sine, cosine, or tangent of an angle. *Use inverse.
Section 6.2 The Law of Cosines.
Applications of Trigonometric Functions
Inverse Trigonometric Functions
16. Law of Sines and Cosines Applications
Angles of Elevation & Depression
Review of Right Triangle Trig . . .
2.4 Applications of Trigonometric Functions
Review Homework.
Law of Sines.
Right Triangle Trigonometry
Right Triangle Trigonometry: Applications
Objective- To solve problems involving the Pythagorean Theorem.
Right Triangle Trigonometry
A 60-foot ramp rises from the first floor to the second floor of a parking garage. The ramp makes a 15° angle with the ground. How high above the.
Let’s Get It Started ° 60° A B C
4.3 Applications Involving Right Triangles
You will need: unit circle
Objective- To solve problems involving the Pythagorean Theorem.
Applications and Models
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
A blimp is flying 500 ft above the ground
Involving law of sines/cosines
Review Homework.
Presentation transcript:

Applications of Trigonometric Functions Section 4.8

Objectives Solve a right triangle. Solve problems involving bearings.

Solve the triangle B c a 23.5 10

Vocabulary bearings The bearing from point O to point P is the acute angle, measured in degrees, between the ray OP and a north-south line.

Use the picture below to answer the questions. 75 60 W E O 35 C 80 D Find the bearing from O to A. Find the bearing from O to B. S

Use the picture below to answer the questions. 75 60 W E O 35 C 80 D Find the bearing from O to C. Find the bearing from O to D. S

A forest ranger sights a fire directly to the south A forest ranger sights a fire directly to the south. A second ranger, 7 miles east of the first ranger, also sights the fire. The bearing from the second ranger to the fire is S 28 W. How far, to the nearest tenth of a mile, is the first ranger from the fire?

A boat leave the entrance to a harbor and travels 150 miles on a bearing of N 53 E. How many miles north and how many miles east from the harbor has the boat traveled?

A hot-air balloon is rising vertically A hot-air balloon is rising vertically. From a point on level ground 125 feet from the point directly under the passenger compartment, the angle of elevation to the balloon changes from 19.2 to 31.5. How far to the nearest tenth of a foot does the balloon rise during this period?

31.7 19.2 125 feet