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A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 feet from the base of the pole? The tip of the shadow is moving at ft/sec.

A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 feet from the base of the pole? The tip of the shadow is moving at ft/sec.

Advanced Engineering Mathematics
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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A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 feet from the base of the pole? The tip of the shadow is moving at ft/sec.
Transcribed Image Text:A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 feet from the base of the pole? The tip of the shadow is moving at ft/sec.
Expert Solution
Step 1

Let AB be the pole=18ft

CD be height of woman=6 ft

let AD=x and DE=y

dxdt=4 ft/sec (given)

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