# calculus

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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.)

• calculus -

hypotenuse*sintheta=45
dh sintheta+ h*costheta dtheta=0
dh= -h*ctnTheta dtheta

dh=-45cm*ctn30* 2PI/180

check my thinking

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