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? 41.606975 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, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 15CT
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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?
41.606975
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? 41.606975 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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