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Determining Distance from a Parade: A Function of Angle - Prof. John Lamaster, Assignments of Trigonometry

In this document, we explore how to find the distance (d) between a camera and a moving child (θ) during a parade. A diagram and explains why d is undefined for θ = θ/2 or -θ/2. It also asks the reader to find d(0) by inspection and develop an equation for d(θ). Finally, it requests to graph d versus θ for -θ/2 < θ < θ/2. Useful for students studying mathematics, physics, or engineering, particularly those focusing on functions, trigonometry, or geometry.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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koofers-user-1pz-1 🇺🇸

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Download Determining Distance from a Parade: A Function of Angle - Prof. John Lamaster and more Assignments Trigonometry in PDF only on Docsity! A Day at the Parade Your first born child is marching in the street fair parade. To capture the event for posterity, you buy a camcorder especially constructed for your child. Perched on a platform with a tripod 20 ft. from Main Street, your fancy camera not only takes beautiful moving pictures, it records the distance d that your child is from the camera as you scan from left to right. (See the figure). We want to determine d as a function of θ for -ð/2 < θ < ð/2, where θ is negative when your child approaches from the left. 1. Explain why d is undefined for θ = ð/2 or -ð/2? Remember d is the distance your child is from the camera as your child marches down Main Steet. 2. By inspection (NO FORMULAS!), find d(0). 3. Develop an equation for d(θ) 4. Graph d vs. θ for -ð/2 < θ < ð/2. 20 ft. d θ camera
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