Consider the shadow cast by your hand if you hold it near a movie screen. As you tilt your hand closer to the horizontal, the shadow gets smaller. If you think of your hand as a vector with tail at the base of your palm and arrow at your fingertips, the shadow's height corresponds to the y component of the vector. If you were to shine another light from above, the shadow cast below your hand would correspond to the x component.   What is the length of the shadow cast on the vertical screen by your 10.0 cm hand if it is held at an angle of θ = 30.0∘ above horizontal? Express your answer in centimeters to three significant figures.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the shadow cast by your hand if you hold it near a movie screen. As you tilt your hand closer to the horizontal, the shadow gets smaller. If you think of your hand as a vector with tail at the base of your palm and arrow at your fingertips, the shadow's height corresponds to the y component of the vector. If you were to shine another light from above, the shadow cast below your hand would correspond to the x component.

 

What is the length of the shadow cast on the vertical screen by your 10.0 cm hand if it is held at an angle of θ = 30.0∘ above horizontal? Express your answer in centimeters to three significant figures.

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