The Cosine Rule is used in triangles where one is

 

The  Cosine Rule is used in triangles where one is trying to relate all  three sides to one angle. If you need to find the length of a side, you  need to know the other two sides and the opposite angle. 

Formula 

a2 = b2 + c2 – 2bc cos(A)

Side a is the one you are trying to find. Sides b and c are the other two sides, and angle A is the angle opposite side a

Example 

Christiano  Ronaldo is taking a shot at a standard 24 foot goal post. He is 32 feet  away from one goal post and 45 feet from the other. Through what angle  can a goal be made? 

Explanation : cosine rule

We will aply cosine tule to this problem because we know the three lengths.

24ft ^2  = 32ft ^2 + 45ft ^2 – 2(32ft)(45ft) cos θ θ = cos−1 (24 ft ^2 – 32 ft^2 – 45ft^2) / -2(32ft)(45ft) 

θ = 30.8312430

CR7 would have to shoot the ball around 31 degrees to score a goal. 

Sources 

Section  4: Sine and cosine rule. (n.d.). Retrieved August 11, 2022, from  https://www.cimt.org.uk/projects/mepres/step-up/sect4/index.htm 

Share This Post

Email
WhatsApp
Facebook
Twitter
LinkedIn
Pinterest
Reddit

Order a Similar Paper and get 15% Discount on your First Order

Related Questions

Consider a recent project that you have worked on. This

 Consider a recent project that you have worked on. This could be for a company or organization with which you are familiar, or even a personal project such as purchasing a home or planning a family gathering. After your opening paragraph, which includes your thesis statement, identify your selected company or

Exercise The threaded discussion will provide the student with the

The threaded discussion will provide the student with the opportunity to explore different topics, share what he/she is learning with classmates, and gain clarity about the content. This assignment reflects student centered independent learning. The student will:• Apply critical thinking through participation of selected topics• Engage in thoughtful discourse with

Discussion (Chapter 7): What are the common challenges with which

Discussion (Chapter 7): What are the common challenges with which sentiment analysis deals? What are the most popular application areas for sentiment analysis? Why? Note: The first post should be made by Wednesday 11:59 p.m., EST. I am looking for active engagement in the discussion.  Please engage early and often. Your response should

Can we manage quality in the healthcare industry in the

  Can we manage quality in the healthcare industry in the same fashion that quality is managed in other industries, such as manufacturing? How can the Six Sigma methodology be implemented in healthcare? How might this implementation enhance value? What kinds of leadership and cultural beliefs are necessary to ensure

Faculty Comments: MRU Soap Note Grading Rubric This sheet is

Faculty Comments:  MRU Soap Note Grading RubricThis sheet is to help you understand what is required, and what the margin remarks might be about on your comments of patients. Since most of your comments that you hand in are uniform, this represents what MUST be included in every write-up. 

You have decided to start an IS-related business. Write a

You have decided to start an IS-related business. Write a business plan that addresses the following points: The product or service of the business Business goals and problem being solved Background of your management team and key employees The potential market for the product or service The competitive advantage of

A mother calls you to report that her 15-year-old daughter

A mother calls you to report that her 15-year-old daughter has run away from home. She has access to her daughter’s e-mail account and says her daughter has a number of emails in her inbox suggesting she has run away to be with a 35-year-old woman. Write a 2 to

Susans Consulting Company (SCC) – Problem Overview Susans Consulting Company

  Susans Consulting Company (SCC) – Problem Overview Susans Consulting Company (SCC) has been in business for ten years and has experienced a significant turnover in the project management group, which has prompted senior leadership to investigate.  A preliminary review by senior leadership has determined that Project Managers are frustrated

International affairs

Description For the past three decades transnational development institutions (WB, IMF, WTO) insisted that neoliberal free-market policies were the best policy alternative to foster development in countries in the Global South. Select a country that adopted these policies in the Global South to answer the following question: have neoliberal development

For this first major assignment, you are to develop a

 For this first major assignment, you are to develop a three-page  that answers the following question: “In the 21st century, what values, traits, and/or practices should define either (a) the computer scientist or (b) the healthcare professional?” At this point in the course, you have reviewed texts that answer this

Chapter 28 provides many approaches that enable safety and health

Chapter 28 provides many approaches that enable safety and health professionals to promote safety effectively. Drawing on textbook Chapter 28 (p. 632) perspectives, write a letter proposal to a fellow safety officer explaining how you would use INCENTIVES to promote your organization’s safety. Make it relevant to your organization and develop specific

Objectives Demonstrate that you have read the report of the

 Objectives Demonstrate that you have read the report of the Jennings Committee. Demonstrate that you understand the key points of the report. Clearly communicate your thoughts and ideas in a clear and concise manner. Practice your written communication skills including the ability to write persuasively in a document that is

The Global Societal Problem, Argument, and Student’s name Course name

The Global Societal Problem, Argument, and  Student’s name Course name and number Instructor’s name Date submitted For further assistance with the formatting and the title page, refer to APA Formatting for Word 2013 (Links to an external site.). Must utilize academic voice. See the Academic Voice (Links to an external site.) resource for additional guidance.

400 words Research and define the term futuring. Answer the

400 words   Research and define the term futuring. Answer the following questions: Why is futuring important? Who is typically responsible for this role within the organization? Identify at least 4 different methodologies used for predictions. Additionally, complete the following: Based on your experience and research, which of the methodologies

Good Afternoon Dr. Robinson and class, PICOT: For pregnant patients,

Good Afternoon Dr. Robinson and class,  PICOT: For pregnant patients, during weeks 38-40 of gestation, does screening for depression with the Edinburgh Postpartum Depression Scale, compared to current practice (postpartum period only), impact earlier identification and referrals to counseling in 8-10 weeks? The second part of the collaborative discussion this

Describe the four primary goals of psychology. Of the four

Describe the four primary goals of psychology. Of the four primary goals which would be the easiest to accomplish? Why? Which would be the most difficult? Why? (Response should be no less than 150 words in length and information from our textbook should be used to support the responses.  Citations