A rotating light is located 19 feet from a wall. The light completes one rotation every 3 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 T light Answer is itive luo Q feet per second

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 8A
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A rotating light is located 19 feet from a wall. The light completes
one rotation every 3 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
T
light
Answer is a positive value.
feet per second
Transcribed Image Text:A rotating light is located 19 feet from a wall. The light completes one rotation every 3 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 T light Answer is a positive value. feet per second
Gravel is being dumped from a conveyor belt at a rate of 40 cubic
feet per minute. It forms a pile in the shape of a right circular cone
whose base diameter and height are always equal. How fast is the
height of the pile increasing when the pile is 21 feet high?
Recall that the volume of a right circular cone with height h and
radius of the base r is given by V
1
²
3
=
ft
min
Transcribed Image Text:Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V 1 ² 3 = ft min
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