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| Math Central | Quandaries & Queries |
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Question from Berania: A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of $25^{o}.$ |
Hi Berania,
The key to this problem is the height of the cone. In my diagram I have labeled the height as $h.$
The distance from $C$ to $A$ is 6 fet and the measure of the angle $CAB$ is $25^{o}.$ The triangle $ABC$ is a right triangle.
What trig function relates the lengths of the sides $BC$ and $CA$ to the measure of the angle $CAB?$
Penny
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