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    I am fine with part i) and ii) (having the answers being 1.55km and 124° respectively). It is just part iii) I am struggling with; I know that it is the height of the triangle from angle C to AB that I have to go about doing. A walkthrough would be greatly appreciated.
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    (Original post by Earl_Earl)
    I am fine with part i) and ii) (having the answers being 1.55km and 124° respectively). It is just part iii) I am struggling with; I know that it is the height of the triangle from angle C to AB that I have to go about doing. A walkthrough would be greatly appreciated.
    Yes, indeed. The shortest distance to a point from a line is the line drawn from the point C that intersects the line AB perpendicularly. This should make intuitive sense. Once that's done, you know have a right-angled trianngle. You know the hypotenuse and you know one of the angles. Hence sin(angle) = opposite/hypotenuse. This then lets you find the opposite which is what you want.

    As attached below:



    The red line is the distance you want, it is also the 'opposite' to the angle 40 degrees and the blue line is your hypoteneuse.
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    I need to learn how to spell hypothenuse. #IlliterateMathmos
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    (Original post by Zacken)
    I need to learn how to spell hypothenuse. #IlliterateMathmos
    Thank you
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    (Original post by Earl_Earl)
    Thank you
    No problem.
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    (Original post by Zacken)
    I need to learn how to spell hypothenuse. #IlliterateMathmos
    Hypothenuse is pretty much obsolete in English speaking countries. Hypotenuse is the common spelling nowadays.
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    (Original post by notnek)
    Hypothenuse is pretty much obsolete in English speaking countries. Hypotenuse is the common spelling nowadays.
    Oh god, I spelt it wrong again. :rofl:
 
 
 
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