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Math Puzzle for February 16, 2024

All successful wineries start as backyard lean-to grape arbors.

Alameda Post - a diagram of a pole to be used for a grape arbor, illustrating the math puzzle for February 16, 2024

Above is a vision of a future backyard lean-to arbor for Concord Grapes.
The bamboo pole contacts the two vertical walls and reaches the ground.
The short wall has a height h of 5 feet and the tall wall has a height of 30 feet.
The distance d from the short wall to the tall wall is 12 feet.
Bamboo is sold by the foot and bamboo prices are escalating mercilessly.
To save money, Herb will utilize the minimum length L for the bamboo pole.
The pole touches the ground, contacts the short wall, and touches the tall wall.
Bamboo is currently selling for an unpardonable $0.70 per foot.
Find the cost C of the cheapest bamboo pole that will get the job done.

C = $ ______

First correct answer sent to [email protected] wins a gift card worth much ice cream at Tucker’s Ice Cream of Alameda.

Last week’s winner was Juan Pumarino Rodríguez with V = 100 liters.

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

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