4) When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find how far on the grown he travelled from the first step to the last step?
4) When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find how far on the grown he travelled from the first step to the last step?
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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![### Problem Statement for Educational Website
#### Question 4:
When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find out how far on the ground he travelled from the first step to the last step.
**Explanation:**
This problem can be solved using the Pythagorean theorem. The stairs form a right triangle, with the length (25 ft) and the height (24 ft) representing the two perpendicular sides. To find the distance he travelled on the ground (the hypotenuse), apply the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
where \( a \) is the height (24 ft), and \( b \) is the length (25 ft).
Thus,
\[ c = \sqrt{24^2 + 25^2} = \sqrt{576 + 625} = \sqrt{1201} \approx 34.67 \text{ ft} \]
Therefore, he travelled approximately 34.67 feet from the first step to the last step on the ground.
**Note:** The problem does not include any graphs or additional visuals. The solution involves mathematical calculations only.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8c464c8-9816-4ef4-8009-bf3331731bd2%2F2b729f65-8077-4697-ab19-47b57ea13368%2Fauvqolfq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement for Educational Website
#### Question 4:
When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find out how far on the ground he travelled from the first step to the last step.
**Explanation:**
This problem can be solved using the Pythagorean theorem. The stairs form a right triangle, with the length (25 ft) and the height (24 ft) representing the two perpendicular sides. To find the distance he travelled on the ground (the hypotenuse), apply the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
where \( a \) is the height (24 ft), and \( b \) is the length (25 ft).
Thus,
\[ c = \sqrt{24^2 + 25^2} = \sqrt{576 + 625} = \sqrt{1201} \approx 34.67 \text{ ft} \]
Therefore, he travelled approximately 34.67 feet from the first step to the last step on the ground.
**Note:** The problem does not include any graphs or additional visuals. The solution involves mathematical calculations only.
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