Martha Washington Elementary School has a right triangular playground. There are swings at point A, a slide at point B, and a jungle gym at point C. It is 60 feet between the slide and the jungle gym. Find the distance between the jungle gym and the swings. 60 feet B Slide 60° Swings
Martha Washington Elementary School has a right triangular playground. There are swings at point A, a slide at point B, and a jungle gym at point C. It is 60 feet between the slide and the jungle gym. Find the distance between the jungle gym and the swings. 60 feet B Slide 60° Swings
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Martha Washington Elementary School Playground Geometry Problem
**Description:**
Martha Washington Elementary School has a right triangular playground. The layout includes:
- Swings at point A
- A slide at point B
- A jungle gym at point C
**Details:**
- The distance between the slide (point B) and the jungle gym (point C) is 60 feet.
- The goal is to find the distance between the jungle gym (point C) and the swings (point A).
**Diagram:**
A right triangle is illustrated showing:
- Point A (Swings) at one vertex.
- Point B (Slide) at another vertex.
- Point C (Jungle gym) at the third vertex, forming a 60° angle with the base and height.
- The base and height are shown to be 60 feet.
**Calculation:**
Using the properties of the right triangle, determine the distance between the jungle gym (point C) and the swings (point A).
**Question:**
What is the distance between the jungle gym and the swings?
**Options:**
- \( 60\sqrt{2} \) feet
- 60 feet
- 120 feet
- \( 60\sqrt{3} \) feet
- 30 feet
Please select the correct answer and click "Submit Answer."
**Diagram Details:**
The triangle in question is a right triangle with:
- The hypotenuse being the distance between points A and C.
- A 60° angle at point C, indicating that the triangle likely follows the properties of a 30°-60°-90° triangle.
For further clarification, revisit the properties of the 30°-60°-90° triangle:
- The side opposite the 30° angle is half the hypotenuse.
- The side opposite the 60° angle is \(60\sqrt{3}\) feet.
**Submit Answer:**
[Submit Answer Button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0890c2ce-3692-4718-a578-4f9466fde9bf%2F2bd2b8ca-606b-425f-9a07-3e3bb431f87e%2Ffunsrtg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Martha Washington Elementary School Playground Geometry Problem
**Description:**
Martha Washington Elementary School has a right triangular playground. The layout includes:
- Swings at point A
- A slide at point B
- A jungle gym at point C
**Details:**
- The distance between the slide (point B) and the jungle gym (point C) is 60 feet.
- The goal is to find the distance between the jungle gym (point C) and the swings (point A).
**Diagram:**
A right triangle is illustrated showing:
- Point A (Swings) at one vertex.
- Point B (Slide) at another vertex.
- Point C (Jungle gym) at the third vertex, forming a 60° angle with the base and height.
- The base and height are shown to be 60 feet.
**Calculation:**
Using the properties of the right triangle, determine the distance between the jungle gym (point C) and the swings (point A).
**Question:**
What is the distance between the jungle gym and the swings?
**Options:**
- \( 60\sqrt{2} \) feet
- 60 feet
- 120 feet
- \( 60\sqrt{3} \) feet
- 30 feet
Please select the correct answer and click "Submit Answer."
**Diagram Details:**
The triangle in question is a right triangle with:
- The hypotenuse being the distance between points A and C.
- A 60° angle at point C, indicating that the triangle likely follows the properties of a 30°-60°-90° triangle.
For further clarification, revisit the properties of the 30°-60°-90° triangle:
- The side opposite the 30° angle is half the hypotenuse.
- The side opposite the 60° angle is \(60\sqrt{3}\) feet.
**Submit Answer:**
[Submit Answer Button]
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