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: + cm Propagated error in the hypotenuse: + 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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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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: ± ? cm

Propagated error in the hypotenuse: ± ?; 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: +
%
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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