Results 1 to 3 of 3

Math Help - Use the given diagram and information to find the height of Mount Robson

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    Ashley Aimes
    Posts
    7

    Use the given diagram and information to find the height of Mount Robson

    A surveyor takes the following measurements to determine the height of Mount Robson. The points A,B, and C are all at the same elevation: 1.2 km above sea level. The point R represents the summit of the mountain. Use the given diagram and information to find the height of Mount Robson, correct to one decimal place.
    .
    Use the given diagram and information to find the height of Mount Robson-pencilmadness0.jpg


    I really appreciate the help! That number is 42 degrees close to B sorry.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123

    Re: Use the given diagram and information to find the height of Mount Robson

    Quote Originally Posted by iloveall View Post
    A surveyor takes the following measurements to determine the height of Mount Robson. The points A,B, and C are all at the same elevation: 1.2 km above sea level. The point R represents the summit of the mountain. Use the given diagram and information to find the height of Mount Robson, correct to one decimal place.
    .
    Click image for larger version. 

Name:	pencilmadness0.jpg 
Views:	21 
Size:	21.0 KB 
ID:	24211


    I really appreciate the help! That number is 42 degrees close to B sorry.
    1. Determine \angle(ACB)=40.7^\circ

    2. Use Sine rule to determine |\overline{BC}| (or |\overline{AC}| )

    3. Use the tangens function to get the length of h:

    h = |\overline{BC}| \cdot \tan(42^\circ) = |\overline{AC}| \cdot \tan(48^\circ)

    4. Don't forget to add the 1.2 km above sea level if you want to get the height of the summit above sea level too.


    EDIT: According to Wikipedia Mt. Robson has a height of 3954 m above sea level. If you follow my hints you'll get a height of 3952.66 m, that means 3953 m. Seems accurate enough.
    Last edited by earboth; July 2nd 2012 at 10:20 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2012
    From
    Ashley Aimes
    Posts
    7

    Re: Use the given diagram and information to find the height of Mount Robson

    C=180 - 85.4 - 53.9 = 40.7
    sin(40.7)/2
    = sin(85.4)/BC
    BC = 2sin(85.4)/sin(40.7)
    h/BC = tan(42)
    h ≈ 2.8 km

    this is what i got so far, is it the correct answer?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 17th 2011, 03:31 AM
  2. Replies: 6
    Last Post: June 24th 2011, 08:08 AM
  3. mount Everest
    Posted in the Algebra Forum
    Replies: 10
    Last Post: June 2nd 2010, 07:48 AM
  4. mount
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: June 2nd 2010, 07:07 AM
  5. find the fisher information
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: May 10th 2010, 08:45 PM

Search Tags


/mathhelpforum @mathhelpforum