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 58", accurate to within 0.45°. Assume that the triangle formed is a right triangle. a) What is the measured length of the wall? 40.0084 feet b) Estimate an upper bound for the propagated error using a linear approximation. c) What is an upper bound for the percent error? % feet

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ISBN:9780470458365
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25 ft.
The length L of a long wall is to be approximated. The angle 9, as shown in the diagram (not to scale), is measured to be 58°, accurate to within 0.45°.
Assume that the triangle formed is a right triangle.
a) What is the measured length of the wall? 40.0084
feet
b) Estimate an upper bound for the propagated error using a linear approximation.
c) What is an upper bound for the percent error?
%
feet
Transcribed Image Text:0 25 ft. The length L of a long wall is to be approximated. The angle 9, as shown in the diagram (not to scale), is measured to be 58°, accurate to within 0.45°. Assume that the triangle formed is a right triangle. a) What is the measured length of the wall? 40.0084 feet b) Estimate an upper bound for the propagated error using a linear approximation. c) What is an upper bound for the percent error? % feet
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