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Schizm Hints
How do I obtain the actual height measurements from the readings?
1 of 14: You will need to apply some math, using the information you have.
2 of 14: Look carefully at the triangular illustration on the wall upstairs in the Temple, or use our version of that illustration below.
3 of 14: Remember that the ratio of the large triangle's height to its width is the same as the ratio of the small triangle's height to its width.
4 of 14: You must add 10 (the fixed distance on the sextant -- or the base of the smaller of the two triangles in the illustration) to the distance measured by the sextant, for each of the five measurements. That's because the sextant is only measuring the distance from its far end to the object, not the distance from your eye to the object (which is the width of the larger triangle in the illustration).
5 of 14: Thus, the *total* distance of the five pillars to your eye, in units -- represented by the width of the larger triangle in the illustration -- is 55, 26, 30, 35, 45.
6 of 14: The height of the smaller triangle is the vertical distance you measured by raising the measuring stick.
7 of 14: The actual height of the five pillars -- represented as the height of the larger triangle -- can now be determined, using some simple math.
8 of 14: One way to phrase the answer is "The ratio of the smaller height to the smaller distance (10) is equal to the ratio of the actual height to the total distance, for each pillar."
9 of 14: Or, in other words, mathematically, the actual height of each pillar is equal to the smaller (measured) height times the total distance, divided by 10.
