Discussion
A ladder reaches a window that is 8 m above the ground on one side of the street. Keeping its foot on the same point, the ladder is twined to the other side of the street to reach a window 12 m high. Find the width of the street if the ladder is 13 m.
Answer: A
The street is about 15.2 m wide.
The ladder's foot stays at one point, so the street's width is the sum of the two horizontal distances from the foot to each wall:
\[ \begin{aligned} \text{side 1} &= \sqrt{13^2 - 8^2} \\ &= \sqrt{105} \approx 10.25 \\ \text{side 2} &= \sqrt{13^2 - 12^2} = 5 \\ \text{width} &\approx 15.25 \text{ m} \end{aligned} \]
The paper's 15·2 m is this value cut to one decimal. 14 m and 14·6 m are both shorter than 10.25 + 5, and 12 m is the height of the second window, not a width.
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