On a sunny day, a 50ft flagpole cast the shadow that changes with the angle of elevation of the sun. Let S be the length of the shadow and \theta be the angle of elevation of the sun. a) Draw the picture to describe the situation. b) Find the rate of which the length of the shadow is changing with respect to \theta when \theta=45°. Express your answer in unit of feet/degree.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
icon
Related questions
Question

On a sunny day, a 50ft flagpole cast the shadow that changes with the angle of elevation of the sun. Let S be the length of the shadow and \theta be the angle of elevation of the sun.

a) Draw the picture to describe the situation.
b) Find the rate of which the length of the shadow is changing with respect to \theta when \theta=45°. Express your answer in unit of feet/degree.

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
Ratios
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.
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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