A power-generating windmill is being designed and will consist of a tower with three large blades that rotate on a central hub at the top of the tower. The height of the tower from the ground to the center of the hub where the 3 blades meet is 262 feet, and the length of the blades from the center of the hub to the tip of each blade is 148 feet. The tower is in the shape of a right circular cylinder that has a diameter of 40 feet, as shown in the figure.QuestionWhen one of the blades is extended straight up, what is the total height of the windmill from its bottom to the tip of the extended blade?
Question
A power-generating windmill is being designed and will consist of a tower with three large blades that rotate on a central hub at the top of the tower. The height of the tower from the ground to the center of the hub where the 3 blades meet is 262 feet, and the length of the blades from the center of the hub to the tip of each blade is 148 feet. The tower is in the shape of a right circular cylinder that has a diameter of 40 feet, as shown in the figure.QuestionWhen one of the blades is extended straight up, what is the total height of the windmill from its bottom to the tip of the extended blade?
Solution
To determine the total height of the windmill from its bottom to the tip of the extended blade, follow these steps:
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Identify the height of the tower from the ground to the center of the hub where the blades meet. This height is given as 262 feet.
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Identify the length of the blades from the center of the hub to the tip of each blade. This length is given as 148 feet.
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When one of the blades is extended straight up, the total height of the windmill will be the sum of the height of the tower and the length of the blade.
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Add the height of the tower to the length of the blade:
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Calculate the sum:
Therefore, the total height of the windmill from its bottom to the tip of the extended blade is 410 feet.
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