One side of a right triangle is known to be 21 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.1°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: + i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: ± i Percentage error in the hypotenuse: ± i %
One side of a right triangle is known to be 21 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.1°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: + i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: ± i Percentage error in the hypotenuse: ± i %
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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