One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is measured to be 60", with a possible error of +0.3°. 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: + % Percentage error in the hypotenuse: + %
One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is measured to be 60", with a possible error of +0.3°. 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: + % Percentage error in the hypotenuse: + %
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is measured to be 60", with a possible error of
+0.3'.
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: +
%
Percentage error in the hypotenuse: +
%
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