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Trigonometry Fun: Solve Word Problems with Boats, Buildings, and Angles!

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Selina

7/19/2023

Pre-Calculus

Trigonometric Problems

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Pre-Calculus

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Trigonometry

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Solving General Triangles

Trigonometry Fun: Solve Word Problems with Boats, Buildings, and Angles!

A comprehensive guide to solving word problems involving angle changes in trigonometric contexts, focusing on practical applications of trigonometry in real-world scenarios involving heights, distances, and angles.

  • Learn to solve problems involving trigonometry word problems with angles of elevation and depression
  • Master techniques for calculating distances using trigonometric functions for boats and buildings
  • Understand how to apply trigonometric ratios to determine heights of structures and distances between objects
  • Practice solving complex problems involving moving objects and changing angles
  • Apply trigonometry to navigation and bearing calculations
...

7/19/2023

31

4-8 P9.328 Trig. Word Problems * Ex. A loft. 2in tall man looks up at a 37° angle to the top of a building. He is 689 inches away from the b

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Page 2: Advanced Trigonometric Applications

This page explores more complex scenarios involving multiple angles and moving objects. The content covers three distinct problem types involving statues, boats, and rockets.

Example: A statue problem using both angles of elevation and depression to calculate total height.

Example: A cliff problem calculating distance between boats using angles of depression.

Example: A rocket launch problem determining distance and speed using changing angles of elevation.

Highlight: The problems demonstrate how to:

  • Calculate heights using multiple angles
  • Find distances between objects using angles of depression
  • Determine speed and distance using changing angles
4-8 P9.328 Trig. Word Problems * Ex. A loft. 2in tall man looks up at a 37° angle to the top of a building. He is 689 inches away from the b

View

Page 3: Navigation and Bearing Problems

This page focuses on practical applications of trigonometry in maritime navigation, introducing concepts of bearings and course calculations.

Vocabulary: Bearing - the direction of an object or course of travel, measured in degrees clockwise from true north.

Example: A boat traveling at 30 knots changes course from 200° to 290°, requiring calculations of final position and bearing.

Highlight: The solution involves:

  • Vector addition for different course segments
  • Pythagorean theorem for distance calculations
  • Inverse tangent for bearing determination

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Subjects

Pre-Calculus

Trigonometry

Solving General Triangles

 

Pre-Calculus

•

31

•

Jul 19, 2023

•

3 pages

Trigonometry Fun: Solve Word Problems with Boats, Buildings, and Angles!

user profile picture

Selina

@suuhleena

A comprehensive guide to solving word problems involving angle changes in trigonometric contexts, focusing on practical applications of trigonometry in real-world scenarios involving heights, distances, and angles.

  • Learn to solve problems involving trigonometry word problems with angles of elevation... Show more

4-8 P9.328 Trig. Word Problems * Ex. A loft. 2in tall man looks up at a 37° angle to the top of a building. He is 689 inches away from the b

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Page 2: Advanced Trigonometric Applications

This page explores more complex scenarios involving multiple angles and moving objects. The content covers three distinct problem types involving statues, boats, and rockets.

Example: A statue problem using both angles of elevation and depression to calculate total height.

Example: A cliff problem calculating distance between boats using angles of depression.

Example: A rocket launch problem determining distance and speed using changing angles of elevation.

Highlight: The problems demonstrate how to:

  • Calculate heights using multiple angles
  • Find distances between objects using angles of depression
  • Determine speed and distance using changing angles
4-8 P9.328 Trig. Word Problems * Ex. A loft. 2in tall man looks up at a 37° angle to the top of a building. He is 689 inches away from the b

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Navigation and Bearing Problems

This page focuses on practical applications of trigonometry in maritime navigation, introducing concepts of bearings and course calculations.

Vocabulary: Bearing - the direction of an object or course of travel, measured in degrees clockwise from true north.

Example: A boat traveling at 30 knots changes course from 200° to 290°, requiring calculations of final position and bearing.

Highlight: The solution involves:

  • Vector addition for different course segments
  • Pythagorean theorem for distance calculations
  • Inverse tangent for bearing determination
4-8 P9.328 Trig. Word Problems * Ex. A loft. 2in tall man looks up at a 37° angle to the top of a building. He is 689 inches away from the b

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Basic Trigonometric Problem Solving

This page introduces fundamental concepts of solving trigonometric word problems using angles of elevation and depression. The content focuses on calculating building heights using trigonometric ratios.

Example: A 6'2" tall man looks up at a 37° angle to the top of a building from 689 inches away. The solution demonstrates converting measurements to consistent units and using tangent ratios to find the building's height.

Vocabulary: Angle of elevation - the angle formed between the horizontal plane and the line of sight looking upward.

Vocabulary: Angle of depression - the angle formed between the horizontal plane and the line of sight looking downward.

Highlight: The solution process involves:

  1. Converting all measurements to the same unit (feet)
  2. Using the tangent ratio to find the vertical height
  3. Adding the observer's height to the calculated height

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David K

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Greenlight Bonnie

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I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user