Math Problem Statement
A ladder touches the wall 91 feet above the ground. Which measurement is closest to the height of the ladder against the wall?
OPTIONS
45.5 feet
22.8 feet
10.1 feet
9.5 feet
Solution
The ladder touches the wall 91 feet above the ground. This height of 91 feet represents the vertical distance from the ground to the point where the ladder meets the wall. Since the height of the ladder against the wall must be at least 91 feet (as it is touching the wall at that height), none of the given options is even close to 91 feet.
The correct answer isn't listed among the options provided. The correct height of the ladder should be at least 91 feet.
Do you want further details or have any questions?
Here are some related questions to expand your understanding:
- How can you calculate the length of a ladder if the height and the distance from the wall are known?
- What role does the Pythagorean theorem play in problems involving ladders?
- How would the length of the ladder change if it was moved closer or farther from the wall?
- How can you determine the angle at which the ladder is leaning against the wall?
- What are the safety guidelines for positioning a ladder against a wall?
Tip: When working with ladders, always double-check measurements to ensure safety and accuracy in problem-solving.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Trigonometry
Formulas
Pythagorean theorem: a^2 + b^2 = c^2
Theorems
Pythagorean theorem
Suitable Grade Level
Grades 9-11
Related Recommendation
Solving Ladder Problem Using Pythagorean Theorem
Calculate Ladder Length Using Pythagorean Theorem (10 ft base, 19 ft height)
Calculate Ladder Height Using the Pythagorean Theorem
Find the Height of a Ladder Using the Pythagorean Theorem
How Far Will a 45-Foot Ladder Reach After Being Pulled 3 Feet from the Wall? Pythagorean Theorem Solution