One side of a right triangle is known to be 24 cm exactly. The angle opposite to this side is measured to be 60', with a possible error of +0.6°. 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: + i %

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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One side of a right triangle is known to be 24 cm exactly. The angle opposite to this side is measured to be 60', with a possible
error of +0.6°.
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: +
i
%
Transcribed Image Text:One side of a right triangle is known to be 24 cm exactly. The angle opposite to this side is measured to be 60', with a possible error of +0.6°. 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: + i %
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