Question:
In the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow 10 feet long. If the lengths of the shadows are proportional to the heights of the poles, what is the height, in feet, of the taller pole?
In the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. At the same time, a nearby upright pole is casting a shadow 10 feet long. If the lengths of the shadows are proportional to the heights of the poles, what is the height, in feet, of the taller pole?
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When lengths are proportional, you can use a proportion to find the unknown height or length.
Updated On: Sep 30, 2025
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The Correct Option is C
Solution and Explanation
Since the lengths of the shadows are proportional to the heights of the poles, we can set up a proportion:
\[
\frac{12}{8} = \frac{h}{10}
\]
Where \( h \) is the height of the taller pole.
Now, solve for \( h \):
\[
h = \frac{12 \times 10}{8} = \frac{120}{8} = 15
\]
Final Answer: \[ \boxed{15} \]
Final Answer: \[ \boxed{15} \]
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