One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °, with a possible error of + -1 ° (a) Use differentials to estimate the error in computing thelength of the hypotenuse. (b) What is the percentage error?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °, with a possible error of + -1 °

(a) Use differentials to estimate the error in computing the
length of the hypotenuse.

(b) What is the percentage error?

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