Asked by deep
One side of a right triangle is known to be 45 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. (Round the answer to two decimal places.)
(a) Use differentials to estimate the error in computing the length of the hypotenuse. (Round the answer to two decimal places.)
Answers
Answered by
bobpursley
hypotenuse*sintheta=45
dh sintheta+ h*costheta dtheta=0
dh= -h*ctnTheta dtheta
change dTheta to radians (2pi/180)
dh=-45cm*ctn30* 2PI/180
check my thinking
dh sintheta+ h*costheta dtheta=0
dh= -h*ctnTheta dtheta
change dTheta to radians (2pi/180)
dh=-45cm*ctn30* 2PI/180
check my thinking
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