Jeopardy Law of cosines Q $100 Q $100 Q $100 Q $100 Q $100 Q $200

Slides:



Advertisements
Similar presentations
Jeopardy Pythagor- who? What’s your angle? Today’s Special What’s your sine? Word Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.
Advertisements

Problem Solving with Right Triangles
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.
Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.
8 Applications of Trig.
7/3/ : The Law of Sines Expectation: G1.3.2: Know and use the Law of Sines and the Law of Cosines and use them to solve problems. Find the area.
Module 18 Oblique Triangles (Applications) Florben G. Mendoza.
Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.
Right Triangle Trigonometry Section 4.3. Objectives Calculate any trigonometric function for an angle in a right triangle given two sides of the triangle.
6.2 Trigonometric Applications
TODAY IN ALGEBRA 2.0…  Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.  Independent Practice.
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.
Law of Sines Law of Cosines BINGO!
T3.2 - Review of Right Triangle Trigonometry, Sine Law and Cosine Law
How tall Giraffe!!! Pick a partner!
Intro screen.
DegRad        DegRad      DegRad    
8-6 The Law of Cosines Objective To apply the Law of Cosines Essential Understanding If you know the measures of two side lengths and the measure of the.
Trig Ratios and Cofunction Relationships. Trig Ratios SOH-CAH-TOA.
Trig Ratios SohCahToa Sine = Sin A = ___ Sin C = ___.
9.4 – The Law of Cosines Essential Question: How and when do you use the Law of Cosines?
Yr 2 w-up x o 16 cm xoxo 4 ft 5 ft 42 o 20 cm 2. For 1-5 solve – you decide what to use, set up ratio, round to the hundredths place xoxo 17 m 22.
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.
1 Law of Cosines Digital Lesson. 2 Law of Cosines.
Chapter 6 Additional Topics in Trigonometry Copyright © 2014, 2010, 2007 Pearson Education, Inc The Law of Cosines.
$100 $200 $300 $400 $500 $200 $300 $400 $500 Geometric mean Pythagorean Thm. Special Right Triangles Law of Sines and Cosines Trigonometry Angles of.
Warm up… Page 481 # Angles of Elevation and Depression.
PreCalculus - Santowski 1 Lesson 26 - Review of Right Triangle Trigonometry PreCalculus – Santowski.
6.1 Law of Sines. Introduction Objective: Solve oblique triangles To solve: you must know the length of one side and the measures of any two other parts.
Notes Over 8.1 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).
6.1 Law of Sines +Be able to apply law of sines to find missing sides and angles +Be able to determine ambiguous cases.
Lesson 6.5 Law of Cosines. Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA- two angles and the included side AAS- two angles.
WARM UP: What is the sine, cosine, and tangent ratios for <B?
Trigonometry Angles of Elevation and Depression. Angle of Elevation The angle formed by the horizontal and the line of sight to a point above horizontal.
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.
CA Review. Law of Sines and Cosines 1.Given a triangle with angles 98 and 50 degrees with an included sides of 15. What is the length of the side opposite.
Solving Problems with Triangles LG: I can use my knowledge of right and oblique triangles to solve problems.
SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)
Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.
Notes Over 8.2 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).
Using SohCahToa to solve right triangles: What does SohCahToa stand for? sinx = opposite_ hypotenuse cosx = adjacent_ hypotenuse tanx = opposite adjacent.
Module 5 Test Review. Solve the following Triangle Angle X: ________ X: __________ Y: ___________.
Geometry – Unit 8 $100 Special Right Triangles Sine, Cosine, &Tangent Elevation & Depression Wild Card! $200 $300 $400 $500 $100 $200 $300 $400 $500.
Warm-up. Law of Sines and Cosines Students will be able to apply the Law of Sines and the Law of Cosines to solve problems involving oblique triangles.
“I love waking up in the morning not knowing where I'm gonna go or who I'm gonna meet. Just the other night I was sleeping under a bridge, and now here.
Jeopardy!. Categories Coterminal Angles Radians/ Degrees Unit CircleQuadrants Triangle Trig Angle of elevation and depression $100 $200 $300 $400.
Geometry Day 13 Thu. March 17 / Mon. March 21 Angles of Elevation and Depression.
6.6 The Law of Cosines. 2 Objectives ► The Law of Cosines ► Navigation: Heading and Bearing ► The Area of a Triangle.
Warm Up A man looks out from a water tower and waves to his daughter who stands on the ground, 60 feet from the base of the water tower. The angle of depression.
6.4 Law Of Sines. The law of sines is used to solve oblique triangles; triangles with no right angles. We will use capital letters to denote angles of.
Law of Sines Apps.. Question 1: Find the area of the triangle having the indicated angle and sides. A = 27° b= 5 c = 8.
Chapter 4 Laws of Sines and Cosines; Vectors 4.2 The Law of Cosines 1
Angles of Elevation & Angles of Depression
Unit 6: Trigonometry Lesson: Law of coSines.
Objective: Apply the law of cosine. (SAS) and (SSS)
Precalculus Day 14.
13-1B Solving a Rt Triangle & Angles of Elevation & Depression
2) State the LAW OF COSINES.
Precalculus Day 17.
Lesson 26 - Applications of Right Triangle Trigonometry
Warm Up A man looks out from a water tower and waves to his daughter who stands on the ground, 60 feet from the base of the water tower. The angle of.
Day 2 Law of cosines.
Trigonometry Created by Educational Technology Network
Lesson 6: Solving Problems with Triangles
Law of Sines and Cosines
Angles of Elevation and Depression
Law of Sines and Cosines
Geometric Mean Proportions & Pythagorean Theorem
8-6 Law of Sines The Law of Sines can be used to find missing parts of triangles that are not right triangles. Theorem 8.8: Let ∆ABC be any triangle with.
Presentation transcript:

Jeopardy Law of cosines Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Word Problems Law of sines SOHCAHTOA Area Law of cosines Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500

$100 Question from Word Problems A man stands on a bldg and sees his friend on the ground. If the bldg is 70 m tall and the angle of depression 35 degrees, how many meters is the man from the bldg. 41o

$100 Answer from Word Problems

$200 Question from Word Problems A man 14 m from a tree notices the angle of elevation to the top of a tree is 60 degrees. How many meters Tall is the tree

$200 Answer from Word Problems 24.2

$300 Question from Word Problems Two radar stations A and B are 32 mi Apart. They locate an airplane X at the Same time. They three points form <XAB, which is 46 degrees and < XBA, Which is 52 degrees. How far is the airplane From station A? 4 3

$300 Answer from Word Problems 25.5

$400 Question from Word Problems A pilot flies 90miles from Memphis To Tupelo to Huntsville and finally back To Memphis. How far is Memphis from Huntsville. M H 153.9° 90 mi 122 mi T

$400 Answer from Word Problems 206.65

$500 Question from Word Problems One side of a triangular garden is 42 ft. The angles on each end of this side measure 66° and 82°. Find the length of fence needed to enclose the garden

$500 Answer from Word Problems 192.9

$100 Question from SOHCAHTOA In letters, what is the Sin(x)? xo

$100 Answer from SOHCAHTOA B C

$200 Question from SOHCAHTOA What is the tan(x) 2√17 8 xo 2

$200 Answer from SOHCAHTOA 4

$300 Question from SOHCAHTOA What is the Cos(x) xo √41 5 4

$300 Answer from SOHCAHTOA 5√41 41

$400 Question from SOHCAHTOA Find the measure of the angle? 8 4√3 xo 4

$400 Answer from SOHCAHTOA X = 60o

$500 Question from SOHCAHTOA Solve the right triangle for A A = a = B = b = 4 C = c = 9

$500 Answer from SOHCAHTOA A = 64 a = √65 B = 26 b = 4 C = 90 c = 9

$100 Question from Area Find the area of the triangle 10 62o 24

$100 Answer from Area Area = 106

$200 Question from Area Find the area for this triangle 16 24○ 12

$200 Answer from Area Area = 39

$300 Question from Area Find the area of the triangle 10 8.3

$300 Answer from Area Area = 29.3

$400 Question from Area Find the area of the triangle a = 14 b = 12 m<C = 40

$400 Answer from Area Area = 54.99

$500 Question from Area What information do you need to find the area of a triangle using The Law of Sines?

$500 Answer from Area Two sides and the included side ( SAS relationship.

$100 Question from Law of Sines Solve for a 12 a 96o 41o

$100 Answer from Law of Sines

$200 Question from Law of Sines Solve for Co 96o 5 Co 10

$200 Answer from Law of Sines C = 29.8o

$300 Question from Law of Sines Solve for b: A = 44o a = 12 B = 75o

$300 Answer from Law of Sines B = 16.7

$400 Question from Law of Sines Solve for B: A = 102o a = 32 B = b = 20

$400 Answer from Law of Sines B = 38o

$500 Question from Law of Sines Solve for c: A = 49o a = 22 B = 63o b = C = c =

$500 Answer from Law of Sines C = 27.0

$100 Question from Law of Cosines Find a 4 a 46o 8

$100 Answer from Law of Cosines

$200 Question from Law of Cosines Find c 32o 8 6 c

$200 Answer from Law of Cosines

$300 Question from Law of Cosines Find A 9 6 8

$300 Answer from Law of Cosines A = 41o

$400 Question from Law of Cosines Find A: a = 7 b = 8 c = 9

$400 Answer from Law of Cosines A = 48o

$500 Question from Law of Cosines Solve the triangle for c A = a = 6 B = b = 4 C = 96o c =

$500 Answer from Law of Cosines A = 52o a = 6 B = 32o b = 4 C = 96o c = 7.5