Concept explainers
To find: the rate of shadow moving when distance is 40 ft.
Answer to Problem 14E
The tip of the shadow is moving with the speed of
Explanation of Solution
Given information:
Given that the street light is mounted at the top of 15 ft tall pole and a man 6ft tall walks away from pole @ 5ft/s straight.
Calculation:
Let
The height of the pole is
Speed is
That is
To get an equation involving rates of change, differentiate both sides of the equations from part
From equation
Now substitute
Therefore, the tip of the shadow is moving with the speed of
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning