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Problem of the Day #228: Shadow of the Cone November 2, 2011

Posted by Albert in : potd , trackback

An upside-down right cone of height $h$ and base radius $r$ with its axis perpendicular to a plane has its tip touching that plane. A point light source is placed infinitely far away at an angle of $\frac{\pi}{6}$ from the plane. Find the area of the shadow in terms of $h$ and $r$.

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