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Solve Right Triangle Ladder Puzzles with Angles and Shadows!

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Maria Hernandez

7/1/2023

Algebra 2

Right Triangle Word Problems

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

A comprehensive guide to solving right triangle ladder problems calculation and related trigonometric applications in real-world scenarios.

  • The guide demonstrates various practical applications of trigonometry including finding distances using angles of depression and calculating angle of elevation with shadow length
  • Problems cover diverse scenarios from ladder placement and building heights to maritime navigation and construction
  • Solutions utilize key trigonometric ratios (sine, cosine, tangent) with step-by-step calculations
  • Real-world examples include window cleaning, ship distance measurement, river width calculation, and escalator design
  • Special attention is given to angle of elevation and depression problems with practical applications
...

7/1/2023

33

0
Right Triangle word Problems Part 1
Ex. Joe wants to clean his 2nd story windows and needs to buy a
ladder that will reach at least 32 fee

View

Page 2: Right Triangle Word Problems - Advanced Applications

This page builds upon the basic concepts with more complex scenarios involving multiple calculations and real-world applications.

Example: A lighthouse shadow problem that requires calculating both the height using a 75° angle of elevation and the shadow length at a different time of day with a 50° angle.

Highlight: The problems demonstrate how to handle scenarios with multiple steps, such as adding a height offset in the kite problem where Jason's hand is 4 feet above the ground.

Definition: The angle of depression is complementary to the angle of elevation and is used when viewing objects from an elevated position.

The page includes diverse applications such as escalator design, radio tower support wire angles, and submarine depth calculations, showcasing the versatility of trigonometric principles in solving real-world problems.

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Algebra 2

33

Jul 1, 2023

2 pages

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

user profile picture

Maria Hernandez

@mariahernandez

A comprehensive guide to solving right triangle ladder problems calculation and related trigonometric applications in real-world scenarios.

  • The guide demonstrates various practical applications of trigonometry including finding distances using angles of depression and calculating angle of elevation with shadow length... Show more
0
Right Triangle word Problems Part 1
Ex. Joe wants to clean his 2nd story windows and needs to buy a
ladder that will reach at least 32 fee

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Page 2: Right Triangle Word Problems - Advanced Applications

This page builds upon the basic concepts with more complex scenarios involving multiple calculations and real-world applications.

Example: A lighthouse shadow problem that requires calculating both the height using a 75° angle of elevation and the shadow length at a different time of day with a 50° angle.

Highlight: The problems demonstrate how to handle scenarios with multiple steps, such as adding a height offset in the kite problem where Jason's hand is 4 feet above the ground.

Definition: The angle of depression is complementary to the angle of elevation and is used when viewing objects from an elevated position.

The page includes diverse applications such as escalator design, radio tower support wire angles, and submarine depth calculations, showcasing the versatility of trigonometric principles in solving real-world problems.

0
Right Triangle word Problems Part 1
Ex. Joe wants to clean his 2nd story windows and needs to buy a
ladder that will reach at least 32 fee

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: Right Triangle Word Problems - Basic Applications

This page introduces fundamental applications of right triangle trigonometry through practical scenarios. The problems demonstrate how to calculate distances and angles in real-world situations.

Example: A ladder problem where Joe needs to determine the length of a ladder that will reach 32 feet high when placed at a 63.6° angle with the ground. The solution shows that the ladder needs to be 35.7 feet long.

Highlight: The page emphasizes the importance of identifying known values and selecting the appropriate trigonometric ratio for solving each problem.

Vocabulary: Angle of depression - the downward angle measured from the horizontal to a line of sight.

Definition: The angle of elevation is the upward angle formed between a horizontal line and the line of sight to an object above.

The page covers various scenarios including cruise ship distance calculation, river width measurement, and cable construction problems, each utilizing different trigonometric ratios based on the given information.

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Marco B

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Elisha

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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