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1.
A leader rests against a wall is perpendicular to the ground if the bottom of the ladder is 4m away from the bottom of the wall, while the top of the ladder is at a height of 3m. What is the length of the ladder.
- A. 7m
- B. 7m
- C. 7m
- D. 7m
Answer: Option C
Explanation:
Applying the Pythagorean theorem:
L^2 = (distance to the wall)^2 + (height)^2 L^2 = 4^2 + 3^2 L^2 = 16 + 9 L^2 = 25
Taking the square root of both sides:
L = √25 L = 5
Therefore, the length of the ladder is 5 meters.
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