Results 1 to 4 of 4

Math Help - Angle of elevation/inclination problem help!

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    5

    Angle of elevation/inclination problem help!

    please help me in my trig homework!
    Here's the problem:

    1. At a certain point, the angle of elevation of a mountain peak is 40 degrees and 20 minutes. At a point 9560 feet farther away on the same horizontal plane, it's angle of elevation is 29 degrees and 50 minutes. Find the perpendicular distance of the peak from the horizontal.

    2. From the top of a tower 60 feet tall the angle of elevation of the top of a building is 14 degrees. From the base of the tower, the angle of elevation of the tops of the building is 28 degrees. How far is the tower from the building and how high is the building?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,569
    Thanks
    1427
    Quote Originally Posted by purplesky828 View Post
    please help me in my trig homework!
    Here's the problem:

    1. At a certain point, the angle of elevation of a mountain peak is 40 degrees and 20 minutes. At a point 9560 feet farther away on the same horizontal plane, it's angle of elevation is 29 degrees and 50 minutes. Find the perpendicular distance of the peak from the horizontal.

    2. From the top of a tower 60 feet tall the angle of elevation of the top of a building is 14 degrees. From the base of the tower, the angle of elevation of the tops of the building is 28 degrees. How far is the tower from the building and how high is the building?
    1. Draw the situation. You should end up with two triangles, both of which have the same vertical height. Call this height h.

    If we call the distance from the first point to the peak x, the the distance from the second point to the peak will be x + 9560.


    From triangle 1:

    \tan{40^{\circ}20'} = \frac{h}{x}

    Therefore x = \frac{h}{\tan{40^{\circ}20'}}.


    From triangle 2:

    \tan{29^{\circ}50'} = \frac{h}{x + 9560}

    Therefore x = \frac{h}{\tan{29^{\circ}50'}} - 9560.


    So \frac{h}{\tan{40^{\circ}20'}} = \frac{h}{\tan{29^{\circ}50'}} - 9560.


    Solve for h.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1
    Hello purplesky828

    Welcome to Math Help Forum!
    Quote Originally Posted by purplesky828 View Post
    ...2. From the top of a tower 60 feet tall the angle of elevation of the top of a building is 14 degrees. From the base of the tower, the angle of elevation of the tops of the building is 28 degrees. How far is the tower from the building and how high is the building?
    This is very similar to number 1. Let the distance from the foot of the tower to the foot of the building be d feet, and let the height of the tower be h feet.

    Draw a diagram, marking in all the distances and the two angles. (Can you do that?)

    Then you have two right angled triangles. From one you get:
    \tan14^o = \frac{h-60}{d}
    and from the other, you get:
    \tan28^o = \frac{h}{d}
    Then you need to:

    • eliminate d between these two equations;


    • solve the resulting equation for h;


    • substitute back to find d.

    Can you complete it now?

    Grandad
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2010
    Posts
    5

    thank you :D

    Thank you so much. I appreciate all the help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trigonometry World Problem - Angle of Elevation
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: July 3rd 2010, 04:12 AM
  2. Word problem angle of elevation/depression. HELP!
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: August 11th 2009, 02:55 PM
  3. Replies: 1
    Last Post: May 5th 2009, 11:36 PM
  4. Angle of elevation word problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 18th 2008, 05:59 AM
  5. inclination angle problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: April 30th 2008, 02:29 PM

Search Tags


/mathhelpforum @mathhelpforum