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# Shortest Distance Triangle (4iii) Watch

1. 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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2. (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.
3. I need to learn how to spell hypothenuse. #IlliterateMathmos
4. (Original post by Zacken)
I need to learn how to spell hypothenuse. #IlliterateMathmos
Thank you
5. (Original post by Earl_Earl)
Thank you
No problem.
6. (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.
7. (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.

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