A 5-foot-tall woman walks at 7 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of her shadow when she is 16 ft from the street light? At what rate is the tip of her shadow moving? Let L be the length of the woman's shadow and let x be the woman's distance from the street light. Write an quation that relates L and x. Differentiate both sides of the equation with respect to t. dt dt The rate of change of the length of the woman's shadow is when she is 16 ft from the street light. Type an exact answer in simplified form.) The tip of her shadow moves at a rate of Type an exact answer in simplified form.) when she is 16 ft from the street light.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
icon
Related questions
icon
Concept explainers
Question
A 5-foot-tall woman walks at 7 ft/s toward a street light that is 20 ft above the ground. What is the rate of change
of the length of her shadow when she is 16 ft from the street light? At what rate is the tip of her shadow moving?
Let L be the length of the woman's shadow and let x be the woman's distance from the street light. Write an
equation that relates L and x.
Differentiate both sides of the equation with respect to t.
dL
dt
The rate of change of the length of the woman's shadow is
when she is 16 ft from the street light.
(Type an exact answer in simplified form.)
The tip of her shadow moves at a rate of
when she is 16 ft from the street light.
(Type an exact answer in simplified form.)
Transcribed Image Text:A 5-foot-tall woman walks at 7 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of her shadow when she is 16 ft from the street light? At what rate is the tip of her shadow moving? Let L be the length of the woman's shadow and let x be the woman's distance from the street light. Write an equation that relates L and x. Differentiate both sides of the equation with respect to t. dL dt The rate of change of the length of the woman's shadow is when she is 16 ft from the street light. (Type an exact answer in simplified form.) The tip of her shadow moves at a rate of when she is 16 ft from the street light. (Type an exact answer in simplified form.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Fundamentals of Algebraic Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax