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Math Help - Bearing issues!

  1. #1
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    Talking Bearing issues!

    Can someone please explain what bearing is exactly? I'm not totally sure how to solve problems regarding it, as I don't understand it completely.
    Heres an example:
    A sailing boat sets off from a point X and heads towards Y, a point 17 km north. At point Y, it changes direction and heads towards point Z, a point 12 km away on a bearing of 90 degrees. Once at Z, the crew wants to sail back to X. Calculate:
    a.) The distance ZX
    b.) the bearing of X from Z
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  2. #2
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    Bearings

    Hello nsingh201
    Quote Originally Posted by nsingh201 View Post
    Can someone please explain what bearing is exactly? I'm not totally sure how to solve problems regarding it, as I don't understand it completely.
    Heres an example:
    A sailing boat sets off from a point X and heads towards Y, a point 17 km north. At point Y, it changes direction and heads towards point Z, a point 12 km away on a bearing of 90 degrees. Once at Z, the crew wants to sail back to X. Calculate:
    a.) The distance ZX
    b.) the bearing of X from Z
    To find the bearing of B from A:
    Imagine you're standing at A.

    Face due North.


    Turn clockwise until you're facing B.


    The angle you've turned through is the bearing of B from A.

    In this question
    \tan \angle YZX = \frac{17}{12}

    \Rightarrow \angle YZX = 54.8^o

    We want the bearing of X from Z. So, you're standing at Z, facing North. Turn clockwise until you're facing X. You've turned through
    270^o - 54.8^o
    =215.2^o
    So that's the bearing of X from Z: 215^o (to the nearest degree).

    Grandad
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by nsingh201 View Post
    Can someone please explain what bearing is exactly? I'm not totally sure how to solve problems regarding it, as I don't understand it completely.
    Heres an example:
    A sailing boat sets off from a point X and heads towards Y, a point 17 km north. At point Y, it changes direction and heads towards point Z, a point 12 km away on a bearing of 90 degrees. Once at Z, the crew wants to sail back to X. Calculate:
    a.) The distance ZX
    b.) the bearing of X from Z
    Hi nsingh201,

    You can use the Pythagorean theorem to find the distance ZX since you turned 90 degrees East. See diagram.

    Grandad found your required bearing to head home.
    Attached Thumbnails Attached Thumbnails Bearing issues!-1.jpg  
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