A 17-meter ladder leans against a wall, reaching 8 meters up the wall. How far is the base of the ladder from the wall?
Options
A
9 m
B
15 m
C
18 m
D
25 m
Answer & Analysis
Answer
B
Analysis
Question Analysis:
This real-world problem applies the Pythagorean Theorem to a common scenario.
The main focus is on modeling a situation and selecting the correct quantities to use in the theorem.
Key Concept Explanation:
The ladder forms a right triangle with the wall and ground:
- Hypotenuse = ladder length (17 m)
- One leg = height on wall (8 m)
- Other leg = distance from wall (unknown)
Step-by-Step Solution:
1. Set up equation:
2. Calculate:
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