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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
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]
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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