1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Estimate relative error using differentials

  1. Aug 2, 2010 #1
    Area of right triangle with hypotenuse H is


    where theta is one of the acute angles.

    Use differentials to estimate the relative errors of the area A if H=4cm and theta is measured to be 30 degrees with an error of measurement of 15 minutes of arc.

    note: a minute of arc, 1' is approximately equal to (1/60) of a degree.

    I'm not quite sure what a measurement of arc is and whether i'm supposed to find the derivative or what? Im so lost, thanks in advance.
  2. jcsd
  3. Aug 2, 2010 #2


    Staff: Mentor

    You need to find the differential of A, dA. Your book should have some examples of how to find the differential.

    Also, unless I'm missing something, one minute of arc, 1', is exactly equal to 1/60 of a degree.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook