A 24-foot ladder is resting against a wall of a building in such a way that the top of the ladder is 18 feet above the ground. How far is the foot of the ladder from the base of the building? The foot of the ladder is approximately feet from the base of the building. (Round to the nearest foot as needed.)
A 24-foot ladder is resting against a wall of a building in such a way that the top of the ladder is 18 feet above the ground. How far is the foot of the ladder from the base of the building? The foot of the ladder is approximately feet from the base of the building. (Round to the nearest foot as needed.)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Problem Statement:**
A 24-foot ladder is resting against a wall of a building in such a way that the top of the ladder is 18 feet above the ground. How far is the foot of the ladder from the base of the building?
**Solution Worksheet:**
The foot of the ladder is approximately [ ] feet from the base of the building.
(Round to the nearest foot as needed.)
---
**Explanation of the Diagram:**
This is a classic application of the Pythagorean theorem in right triangle scenarios. The ladder forms the hypotenuse of a right triangle, with the height from the ground (18 feet) and the distance from the wall (unknown) as the two legs. By setting these in the formula: \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse (ladder length), one can solve for the unknown distance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbcea6d79-c0c2-49cd-aa31-c3eca199518f%2Fc72892b7-ef64-4001-9729-05d667053d30%2Fyy3rwbm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A 24-foot ladder is resting against a wall of a building in such a way that the top of the ladder is 18 feet above the ground. How far is the foot of the ladder from the base of the building?
**Solution Worksheet:**
The foot of the ladder is approximately [ ] feet from the base of the building.
(Round to the nearest foot as needed.)
---
**Explanation of the Diagram:**
This is a classic application of the Pythagorean theorem in right triangle scenarios. The ladder forms the hypotenuse of a right triangle, with the height from the ground (18 feet) and the distance from the wall (unknown) as the two legs. By setting these in the formula: \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse (ladder length), one can solve for the unknown distance.
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