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
    change dTheta to radians (2pi/180)

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

    check my thinking

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