The angle between a plane and the plane is whereThe projection of a rectangular region

Chapter 0, Problem 14

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The angle between a plane P and the xy-plane is \(\theta\), where \(0\ \leq\ \theta\ <\ \pi/2\). The projection of a rectangular region in P onto the xy-plane is a rectangle whose sides have lengths \(\triangle x\ \text{and}\ \triangle y\), as shown in the figure. Prove that the area of the rectangular region in P is \(\sec \theta \triangle x \triangle y\).

Text Transcription:

theta

0 leq theta < pi/2

delta x and delta y

sec theta delta x delta y

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