They are Perpendicular - means "at right angles to"
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tne name of the semicircle joining the poles to poles is called merdian
The lines joining the two poles are longitudes.
For this particular problem, the point of intersection is 4 feet above the ground.The general formula for this situation is as follows:Let h=height of the shorter poleLet H=height of the taller poleThen the height of the point of intersection, let's call it y, will bey = (hH)/(h+H) or more symmetrically, 1/y = 1/h + 1/HThis may be deduced by simple algebra and the comparison of sides of similar triangles.An interesting aspect of this problem is that the distance between the poles does not appear anywhere in the solution! No matter how far apart you stretch the poles, the height of the point of crossing remains the same - it just slides along a horizontal line at the calculated height.Another point of interest is that the ratio of the horizontal distance from one pole to the crossing point ( call it x ) divided by the total distance between the two poles ( call it D ) also remains the same as the poles are moved apart. Specifically,(x/D) = H/(h+H) = (a constant for a fixed set of poles)
The ends of the axis are the North and South Poles.
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