Results 1 to 6 of 6

Math Help - Using Tangent: Word Problem

  1. #1
    Newbie
    Joined
    Jun 2009
    Posts
    19

    Post Using Tangent: Word Problem

    Hey Everyone! Today I am faced with the problem that has the answer of 75.64degrees figuring how to solve this word problem:

    A ladder which is leaning against a wall makes an angle of 70degrees with the ground and reaches 5 m up the wall. The foot of the ladder is then moved 50 cm closer to the wall. Find the new angle that the ladder makes with the ground.


    Thank You For the Help!
    Last edited by flutterby; June 19th 2009 at 01:03 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by flutterby View Post
    Hey Everyone! Today I am faced with the problem that has the answer of 63.86degrees figuring how to solve this word problem:

    A ladder which is leaning against a wall makes an angle of 70degrees with the ground and reaches 5 m up the wall. The foot of the ladder is then moved 50 cm closer to the wall. Find the new angle that the ladder makes with the ground.


    Thank You For the Help!
    first of all, your "answer" is incorrect ... moving the foot of the ladder closer to the wall will make the angle between the ladder and the ground increase to a value larger than the initial 70 degrees.


    let x = initial distance the foot of the ladder is from the wall (in meters)

    let L = length of the ladder

    \theta = new angle between the ladder and the ground


    three trig ratio equations can be set up ...

    \tan(70) = \frac{5}{x}

    \cos(70) = \frac{x}{L}

    \cos(\theta) = \frac{x-0.5}{L}

    ... solve for \theta

    you should get \theta = 75.64^{\circ}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2009
    Posts
    19
    Quote Originally Posted by flutterby View Post
    Sorry this is the correct problem and answer. Today I am faced with the problem that has the answer of 75.64degrees figuring how to solve this word problem:

    A ladder which is leaning against a wall makes an angle of 70degrees with the ground and reaches 5 m up the wall. The foot of the ladder is then moved 50 cm closer to the wall. Find the new angle that the ladder makes with the ground.


    Thank You For the Help!


    Also can you please explain using tangent only, thanks!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by flutterby View Post


    Also can you please explain using tangent only, thanks!
    why only tangent?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Jun 2009
    Posts
    19
    Quote Originally Posted by skeeter View Post
    why only tangent?
    oh cuz I need to know how to solve with tangent only until I move on to the next chapter. I need to be proficient in tangent first and know how it works fully!
    Follow Math Help Forum on Facebook and Google+

  6. #6
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    I don't know if this will help or not
    Last edited by VonNemo19; September 19th 2009 at 10:49 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: January 2nd 2011, 08:20 PM
  2. Tangent problem
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: September 20th 2009, 03:08 PM
  3. Using Tangent: Word Problem
    Posted in the Trigonometry Forum
    Replies: 11
    Last Post: June 17th 2009, 02:13 AM
  4. tangent problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: December 26th 2008, 06:48 PM
  5. word problem (tangent vectors)
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 7th 2008, 12:29 PM

Search Tags


/mathhelpforum @mathhelpforum