16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5 ft/sec. How fast is the tip of his shadow moving when he is 20 ft. from the pole? L-x 3. A water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet per second. The height of the cone is 8 feet and the radius is 4 feet. Find the rate of change of the water level when the depth is 6 feet.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 42A: Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Fifteen...
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NOW IT'S YOUR TURN!
Solve the following problems involving related rates.
1. The radius of a circular oil slick on the surface of a pond is increasing at
the rate of 10 meters/min. At what rate is the circle's
a) circumference changing
b) area changing
when the radius of the oil slick is 20 m.?
16
2. A light at the top of a 16 ft. pole. A man 6 ft. tall
walks away from the pole at a rate of 5 ft/sec. How fast is
the tip of his shadow moving when he is 20 ft. from the
pole?
L-x
3. A water tank in the form of an
inverted cone is being emptied at the rate of 2
cubic feet per second. The height of the cone
is 8 feet and the radius is 4 feet. Find the rate
of change of the water level when the depth is
6 feet.
Transcribed Image Text:NOW IT'S YOUR TURN! Solve the following problems involving related rates. 1. The radius of a circular oil slick on the surface of a pond is increasing at the rate of 10 meters/min. At what rate is the circle's a) circumference changing b) area changing when the radius of the oil slick is 20 m.? 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5 ft/sec. How fast is the tip of his shadow moving when he is 20 ft. from the pole? L-x 3. A water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet per second. The height of the cone is 8 feet and the radius is 4 feet. Find the rate of change of the water level when the depth is 6 feet.
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