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A rotating light is located 10 feet from a wall. The ligh rotation every 4 seconds. Find the rate at which the lig onto the wall is moving along the wall when the light's dogroor from nernendicular to the wall. dearee

A rotating light is located 10 feet from a wall. The ligh rotation every 4 seconds. Find the rate at which the lig onto the wall is moving along the wall when the light's dogroor from nernendicular to the wall. dearee

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 rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 5 degrees from perpendicular to the wall. wall light feet per second Answer is a positive value.
Transcribed Image Text:A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 5 degrees from perpendicular to the wall. wall light feet per second Answer is a positive value.
Expert Solution
Step 1

Speed of light when moving along the wall:

 We'll start with the distances of the light on the wall from the point on the wall closest to the light and work out an equation involving angle, this distance, and the light's initial distances from the wall.

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