You measure the angle from the ground to the top of the building from a point 74 feet away from the base of the building. The value of the angle is 45 degrees, but your measurement may be in error by as much as +2°. Assuming level ground and a plumb building, use differentials to approximate the maximum possible error in calculating the height of the building using your measurement of the angle. Round your answer to three decimal places. (Hint: Remember in calculus, we always deal with radians.) error = + feet

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 15A: Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one...
icon
Related questions
icon
Concept explainers
Topic Video
Question
You measure the angle from the ground to the top of the building from a point 74 feet away
from the base of the building. The value of the angle is 45 degrees, but your measurement
may be in error by as much as +2°. Assuming level ground and a plumb building, use
differentials to approximate the maximum possible error in calculating the height of the
building using your measurement of the angle. Round your answer to three decimal places.
(Hint: Remember in calculus, we always deal with radians.)
error = ±
feet
Transcribed Image Text:You measure the angle from the ground to the top of the building from a point 74 feet away from the base of the building. The value of the angle is 45 degrees, but your measurement may be in error by as much as +2°. Assuming level ground and a plumb building, use differentials to approximate the maximum possible error in calculating the height of the building using your measurement of the angle. Round your answer to three decimal places. (Hint: Remember in calculus, we always deal with radians.) error = ± feet
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math 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,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL