What is the value of sintheta for a solid angle?

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The discussion centers on the calculation of sintheta in relation to solid angles, with an emphasis on the geometry involved. The initial formulas proposed for sintheta are deemed incorrect, as the concept of solid angle is misapplied in this context. Instead, the correct approach involves dropping a perpendicular from a specific point to the x-axis, leading to a different expression for the sine of the angle. The correct formula incorporates the lengths derived from the geometry of the situation. Overall, the conversation highlights the importance of understanding the geometric relationships in calculating angles.
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There is no "solid angle" here- two intersecting line segments lie in a single plane. Neither of the formulas you give is correct. If you drop a perpendicular from the point (x, a/2, h) to the x-axis, its length will NOT be h, it will be sqrt(a^2/4+ h^2) so the sine of the angle will be sqrt(a^2/4+ y^2)/sqrt(x^2+ a^2/4+ h^2).
 
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