GATE Civil Engineering
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In a survey work, three independent angles $X, Y$ and $Z$ were observed with weights $W_X, W_Y, W_Z$,respectively. The weight of the sum of angles $X, Y$ and $Z$ is given by:

  1. $1/ \big( \dfrac{1}{W_X} + \dfrac{1}{W_Y} + \dfrac{1}{W_Z} \big) \\$
  2. $\big( \dfrac{1}{W_X} + \dfrac{1}{W_Y} + \dfrac{1}{W_Z} \big) \\$
  3. $W_X +W_Y+W_Z  \\$
  4. $W_X^2 +W_Y^2+W_Z^2$
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