Results 1 to 2 of 2

Math Help - Estimate the maximum allowable percent error

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    USA
    Posts
    9

    Estimate the maximum allowable percent error

    The measurement of one side of a right triangle is found to be 9.5 inches, and the angle opposite that side is 2645' with a possible error of 15'. Estimate the maximum allowable percent error in measuring the angle if the error in computing the length of the hypotenuse cannot exceed 2%.
    What should I do first? Pls show me the way to solve it
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Mar 2010
    Posts
    993
    Thanks
    244

    Re: Estimate the maximum allowable percent error

    You first need to write an equation for the length h of the hypotenuse in terms of the side you have and the angle \theta. That's pretty elementary trigonometry. Then differentiate h with respect to \theta and divide by the original equation. That should give you \frac{dh}{h} in terms of \frac{d\theta}{\theta}. Then you set \frac{dh}{h}=0.02 and solve for \frac{d\theta}{\theta}.

    But it seems like you already have the percent error for the angle: (15' / 2645') x 100%. So are you trying to find out if that's too much?

    - Hollywood
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: September 29th 2009, 12:05 PM
  2. Replies: 2
    Last Post: July 11th 2009, 10:09 PM
  3. Differentials to estimate the maximum error
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 27th 2009, 08:07 PM
  4. Replies: 1
    Last Post: April 23rd 2008, 07:39 PM
  5. % Percent error
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: April 12th 2005, 06:26 PM

Search Tags


/mathhelpforum @mathhelpforum