A person whose height is M feet is walking away from the base of a streetlight along a straight road, as shown in the figure above. The height of the streetlight is L feet. At time t seconds, the person is x feet from the streetlight, and the length of the person's shadow is s feet. The quantities are related by the equation (x + s) = +s, where L and M are constants. Which of the following best describes the relationship between the rate of change of x with respect to time and the rate of change of s with respect to time? A B)# = s - * = - M dt D dz = L ds dt M dt dt

A person whose height is M feet is walking away from the base of a streetlight along a straight road, as shown in the figure above. The height of the streetlight is L feet. At time t seconds, the person is x feet from the streetlight, and the length of the person's shadow is s feet. The quantities are related by the equation (x + s) = +s, where L and M are constants. Which of the following best describes the relationship between the rate of change of x with respect to time and the rate of change of s with respect to time? A B)# = s - * = - M dt D dz = L ds dt M dt dt

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A person whose height is M feet is walking away from the base of a streetlight along a straight road, as shown in the figure above. The height of the streetlight is L feet. At time t seconds,
the person is x feet from the streetlight, and the length of the person's shadow is s feet. The quantities are related by the equation (x + s) = +s, where L and M are constants. Which
of the following best describes the relationship between the rate of change of x with respect to time and the rate of change of s with respect to time?
A
B) # = s -
dz =
M dt
>

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