Subjects

Algebra 2

Overview

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

Name: Knowunity
Brand: Knowunity

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Solve Right Triangle Ladder Puzzles with Angles and Shadows!

Maria Hernandez

@mariahernandez

118 Followers

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

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.

View

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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Algebra 2

Overview

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

Maria Hernandez

@mariahernandez

118 Followers

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

11th/12th

Algebra 2

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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.

Sign up to see the content. It'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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

Solve Right Triangle Ladder Puzzles with Angles and Shadows!

Sign up to see the content. It's free!

Sign up to see the content. It's free!

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying