5-4 Applying Trigonometric Functions

Slides:



Advertisements
Similar presentations
SOHCAHTOA TOA CAH SOH The three trigonometric ratios for right angled triangles are considered here. Click on a box to select a ratio.
Advertisements

Date: 2/7 Aim: To use trigonometric ratios for indirect measurements of right triangles.
Jeff Bivin -- LZHS Right Triangle Trigonometry By: Jeffrey Bivin Lake Zurich High School Last Updated: December 1, 2010.
5-4 Applying Trigonometric Functions. If J=50° and j=12, find r. G 12 r 50° R g J Sin 50⁰=12/r.7660=12/r.7660r=12 r=15.67.
7.6 Right Triangles. Ex 1) Solve the right triangle that has c = 33 and B = 22  B A Sketch the  A, B, C = angles a, b, c = sides (opp the  ) C All.
Applications Using Trigonometry Angles of Elevation and Depression.
QUADRANT I THE UNIT CIRCLE. REMEMBER Find the length of the missing side: x y x y x y Aim: Use the unit circle in order to find the exact value.
Circle A is centered at (2,2) with a radius of 12 cm and Circle B is centered at (8,-2) with a diameter of 6 cm. Determine the translation and dilation.
Angle of Elevation & Angle of Depression
Section To identify the “parts” of a right triangle 2. To learn the “definitions” (formulas) for each of the trigonometric functions 3. To find.
 In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA.
Word Problems for Right Triangle Trig. Angle of Elevation: The angle above the horizontal that an observer must look at to see an object that is higher.
SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to.
8-3 Trigonometry. Trigonometry Trigonometry (Trig) is used to find missing angles and sides of a right triangle There are 3 common trig functions – Sine.
How tall Giraffe!!! Pick a partner!
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.
11.6 –Areas of Regular Polygons. Center of a polygon: Point equidistant to the vertices of the polygon center.
Trigonometry v=t2uPYYLH4Zo.
Objective: To use the sine, cosine, and tangent ratios to determine missing side lengths in a right triangle. Right Triangle Trigonometry Sections 9.1.
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.
8.4 Angles of Elevation and Depression
Warm up… Page 481 # Angles of Elevation and Depression.
Right Triangle Trigonometry Pre-Calculus Lesson 4.3.
Objectives: Evaluate trigonometric functions of acute angles Solve right triangles Use trigonometric functions to model and solve real-life problems.
9.6 Sine and Cosine. CHIEF SOH-CAH-TOA SOH CAH TOA.
The Six Trig Functions Objective: To define and use the six trig functions.
Right Triangle Trigonometry
Lesson 13.1 Right Triangle Trigonometry
Unit 7: Right Triangle Trigonometry
Section 5-4 Applying Trig Functions Objective: Students will be able to use trigonometry to find the measures of the sides of right triangles.
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
45° a a a a a  2 60° 30° a 2a2a a3a3 Special Triangles Rules.
An angle of elevation is from a horizontal up. An angle of depression is from a horizontal down. Angle of elevation Angle of depression What do you know.
5-4 Applying Trigonometric Functions Objective: Use trig to find the measures of the sides of right triangles.
Warm up 1. Use the unit circle to find each value: – a. cos (-180 o ) – b. tan(45 o ) 2. Find the values of the six trig functions for angle in standard.
Right Triangle Trig Applications Angles of Elevation and Depression Dr. Shildneck Fall, 2014.
Goal: To use trigonometric ratios for indirect measurements of right triangles. 7.6 Apply Sine and Cosine Ratios.
Quick Quiz Find the unknown angle, show working TOA = = …
Intro to Trigonometric Functions Physics Mrs. Coyle.
And each angle.
Objective To use angles of elevation and depression to solve problems.
Warm Up Questions x x Solve for X Find Theta soh cah toa X = X=
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.
11.6 –Areas of Regular Polygons. Center of a polygon: Point equidistant to the vertices of the of the polygon P.
Bell Assignment: Label the unit circle Applying Trig Functions.
Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic.
Angle of Elevation Angle of Elevation: the angle to which an observer would have to raise their line of sight above a horizontal line to see an object.
Applications of Trig Functions. Angle of Elevation: the angle from the line of sight and upwards. Angle of Elevation Angle of Depression: the angle from.
Right Triangle Trigonometry A B C SOHCAHTOA. Geometry - earth measurement Trigonometry - triangle measurement Sine of an angle = Opposite leg Hypotenuse.
Use trigonometry to find the measures of the sides of right triangles.
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.
Sect. 9.5 Trigonometric Ratios Goal 1 Finding Trigonometric Ratios Goal 2 Using Trigonometric Ratios in Real Life.
14-3 Right Triangle Trig Hubarth Algebra II. The trigonometric ratios for a right triangle: A B C a b c.
Pythagorean Theorem c hypotenuse a leg leg b
GPS Pre-Calculus Keeper 10
Lesson Objective: Use right triangles to evaluate trig functions.
Right Triangle Trigonometry 4.8
Right Triangle Trigonometry
5-4 Applying Trigonometric Functions
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
Elevation and depression
Do Now: 2. If tan (
Warm Up Find the missing side length Find the missing angle 55°
Warm Up Find the missing side length Find the missing angle.
MATH 1330 Section 7.1.
Notes: 5-4 Applying Trig Functions
GPS Pre-Calculus Keeper 10
MATH 1330 Section 7.1.
MATH 1330 Section 7.1.
Angles of Elevation and Depression
Presentation transcript:

5-4 Applying Trigonometric Functions

Remember… Soh Cah Toa

Find b and c Solve for x

3) A child holding on to the string of a kite gets tired and decides to put the string on the ground and secure it with a brick. The length of the string from the brick to the kite is 240 feet. a.If the angle formed by the string and the ground is 50.275°, how high is the kite? b.What is the horizontal distance between the kite and the brick?

A regular hexagon is inscribed in a circle with diameter 10 A regular hexagon is inscribed in a circle with diameter 10.32 centimeters. Find the apothem of the hexagon.

In Washington, D.C., the Washington Monument is situated between the Capitol and the Lincoln Memorial. A tourist standing at the Lincoln Memorial tilts her head at an angle of 7.491° in order to look up to the top of the Washington Monument. At the same time, another tourist standing at the Capitol steps tilts his head at a 5.463° to also look at the top of the Washington Monument. a. About how high is the Washington Monument? b. What is the distance between the Lincoln Memorial and the Washington monument?

ANGLE OF ELEVATION:  the angle between a horizontal  line and the line of sight from an observer to an object at a  higher level ANGLE OF DEPRESSION:  the angle between a horizontal  line and the line of sight from the observer to an object at a  lower level IMPORTANT:  angle of elevation = angle of depression