3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground below. The cat observes the dog at an angle of depression of 70° south of the tree and the firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown. C a) Fully label the diagram, show all given angles and right angles, b) Is DTF a right triangle? Explain how you know. c) Determine how far the firefighter is from the dog, to the nearest tenth of metre,
3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground below. The cat observes the dog at an angle of depression of 70° south of the tree and the firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown. C a) Fully label the diagram, show all given angles and right angles, b) Is DTF a right triangle? Explain how you know. c) Determine how far the firefighter is from the dog, to the nearest tenth of metre,
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground
below. The cat observes the dog at an angle of depression of 70° south of the tree and the
firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown.
C
a) Fully label the diagram, show all given angles and right angles.
b) Is DTF a right triangle? Explain how you know.
c) Determine how far the firefighter is from the dog, to the nearest tenth of metre.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb96b4b-bdb5-498a-a447-3fcafa9ec370%2F9810bf52-d6ca-42ec-a26e-4b3def826ee9%2Fmapv81o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. A cat, sitting on the top of a 9,5 m tree, spots a dog and a firefighter, both on the flat ground
below. The cat observes the dog at an angle of depression of 70° south of the tree and the
firefighter at an angle of depression 30° east of the tree. Partially completed diagram is shown.
C
a) Fully label the diagram, show all given angles and right angles.
b) Is DTF a right triangle? Explain how you know.
c) Determine how far the firefighter is from the dog, to the nearest tenth of metre.
![1. A steep mountain is inclined 74 degrees to the horizontal and rises 3400 ft above the
surrounding plain. A cable car is to be installed from a point 800 ft from the base to the top of
the mountain, as shown. Find the shortest length of the cable needed.
1 3400 ft
74°
800 ft-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb96b4b-bdb5-498a-a447-3fcafa9ec370%2F9810bf52-d6ca-42ec-a26e-4b3def826ee9%2F7g39xlh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A steep mountain is inclined 74 degrees to the horizontal and rises 3400 ft above the
surrounding plain. A cable car is to be installed from a point 800 ft from the base to the top of
the mountain, as shown. Find the shortest length of the cable needed.
1 3400 ft
74°
800 ft-
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra and Trigonometry (6th Edition)](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
![Contemporary Abstract Algebra](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Algebra And Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
![Introduction to Linear Algebra, Fifth Edition](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
![College Algebra (Collegiate Math)](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education