A surveyor is walking at the rate of 4 ft/sec along the diameter of a circular courtyard. A light at one end of a diameter perpendicular to her path casts a shadow on the circular wall. How fast is the shadow moving along the wall when her distance to the center of the courtyard is r/2? a. 6.4 ft/sec b. 9.6 ft/sec c. 6.2 ft/sec d 69 ft/sec

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 1
A surveyor is walking at the rate of 4 ft/sec along the diameter of a circular courtyard. A light
at one end of a diameter perpendicular to her path casts a shadow on the circular wall. How fast is
the shadow moving along the wall when her distance to the center of the courtyard is r/2?
a. 6.4 ft/sec
b. 9.6 ft/sec
c. 6.2 ft/sec
d. 6.9 ft/sec
Transcribed Image Text:Problem 1 A surveyor is walking at the rate of 4 ft/sec along the diameter of a circular courtyard. A light at one end of a diameter perpendicular to her path casts a shadow on the circular wall. How fast is the shadow moving along the wall when her distance to the center of the courtyard is r/2? a. 6.4 ft/sec b. 9.6 ft/sec c. 6.2 ft/sec d. 6.9 ft/sec
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