The angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of B is y. If AB = z, then which one of the following is correct?

1
h2 (cot2 y + cot2 x) = z2
2
z2 (cot2 y – cot2 x) = h2
3
h2 (tan2 y – tan2 x) = z2
4
z2 (tan2 y – tan2 x) = h2

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