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February 5th, 2012, 01:10 PM   #1
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distance between two equal lines at given angle and distance

what is the formula to fiber out the distance between two lines at a given distance and angle if they are the same length? For instance. If I have two lines at a right angle (a and b) at 25 degree right angle what is the distance between the two at a given distance? To help visualize a triangle with two of the sides intersecting at 25 degrees. What would be the distance between those two lines at 100ft, 200ft, etc?
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February 5th, 2012, 03:02 PM   #2
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Re: distance between two equal lines at given angle and dist

Your question is not clear. A right angle is always 90 degrees. If the lines are equal in length and they are the legs of a right angled triangle, the angles between the legs and the hypotenuse is always 45 degrees.

Otherwise, using the law of cosines, the distance, d, between the unattached ends of the two lines, a and b, is

d = aČ + bČ - 2abcos(?), where d, a and b are the lengths of the lines and ? is the measure of the angle in degrees (or radians, if you prefer).
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