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C Secure l htt wileyplus.com/edugen/student/mainfrun Apps O Formatting The Java

ID: 1614059 • Letter: C

Question

C Secure l htt wileyplus.com/edugen/student/mainfrun Apps O Formatting The Java e Complete Printf for Ja Gfs used 2007 Lexus D New Tab ES wiley PLUS: HywileyPLUS I Help l Contact us I Los Halliday, Fundamentals of Physics, 10e Introductory Physics (PHYs 1303, 1304, 1307, 13 Assignment Gradebook ORION ment PRINTER VERSION Chapter 34, Problem 004 The figure shows an overhead view of a corridor with a plane mirror M mounted at one end. A burglar B sneaks along the corridor directly toward the of the mirror if d 2.0 m, how far from the mirror will she be when the security mirror? Number the tolerance is +/-2% click if you would like to show work for this question: open Show Work Question Attempts: o of 5 used SAVE FOR LATER SUBMIT ANSWER lic I 2000-2017 John Wiley B Sons, Inc. All Rights A Division of John Wiley Sans Inc. Reserved Version 4.22.3.4 lab-13 1172 pdf

Explanation / Answer

Let X be the distance to be measured.

In order for the security S to see the burglar, if the light rays will get reflected from B to S off the edge of mirror.

When you join the dotted lines from S to the edge of mirror, you will find the angle as 45 degrees relative to the wall. So the angle of reflection is 45 degrees.

And we know from the laws of reflection that,

Tan (theta) = P/B

In our case, P = X and B = d/2 = 2/2 = 1 and theta = 45 deg

tan (45) = X / 1

X = 1 x tan (45) = 1 x 1 = 1 meters

Hence, X = 1 meter