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Math Puzzle for January 10, 2025

A cane pole rests in Alameda

a math diagram that depicts a long bamboo pole leaned up against a tall wall. This large shape appears to be a right triangle, but it is not labeled as one. Near the angle where the bamboo pole touches the ground, a shorter wall is depicted. The short wall goes from the ground to the bamboo pole. The height of the short wall from the ground to the bamboo pole is labeled lowercase h. The distance from the short wall to the taller wall is labeled d. A measurement where the upper end of the pole meets the wall is labeled as uppercase H.

A bamboo pole rests on a short wall and leans against a tall wall.
One end of the pole rests on the ground.
The walls are separated by a distance d of 9 feet.
The short wall has a height h of 6 feet.
The pole reaches a height H feet up the tall wall.
The length L of the pole is 26 feet.
Find the highest height H that the pole can reach up the tall wall.

H = ______ feet

The first correct answer received at [email protected] wins a valuable gift card for Tucker’s Ice Cream of Alameda.

Last week’s winner was Xavier Strand with h = 6 centimeters.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].

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