Math CentralQuandaries & Queries


Question from cynthia, a student:

20 foot rope is tied 2 feet from the top of a pole and secured 8 feet from the base of the pole....How tall is the pole?

Hi Cynthia,

Did you draw a diagram?


$AC$ is 20 feet, $BC$ is 8 feet and $TA$is 2 feet. Suppose the height of the pole, $TB$ is $h$ feet. What is the distance from $A$ to $B?$ Triangle $ABC$ is a right triangle. What does Pythagoras tell you?


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