25 ft. The length L of a long wall is to be approximated. The angle 0, as shown in the diagram (not to scale), is measured to be 59°, accurate to within 0.35°. Assume that the triangle formed is a right triangle. a) What is the measured length of the wall? feet b) Estimate an upper bound for the propagated error using a linear approximation. feet c) What is an upper bound for the percent error? %

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 48E
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25 ft.
The length L of a long wall is to be approximated. The
angle 0, as shown in the diagram (not to scale), is
measured to be 59°, accurate to within 0.35°. Assume
that the triangle formed is a right triangle.
a) What is the measured length of the wall?
feet
b) Estimate an upper bound for the propagated error using a
linear approximation.
feet
c) What is an upper bound for the percent error?
%
Transcribed Image Text:25 ft. The length L of a long wall is to be approximated. The angle 0, as shown in the diagram (not to scale), is measured to be 59°, accurate to within 0.35°. Assume that the triangle formed is a right triangle. a) What is the measured length of the wall? feet b) Estimate an upper bound for the propagated error using a linear approximation. feet c) What is an upper bound for the percent error? %
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