Hi rajan_agarwal,
I'm going to give you some hints so that you can re-attmpt this question on your own.
1) The prompt is poorly-worded, but it's meant to get you thinking about 2 right triangles (a 30/60/90 and a 45/45/90). Draw those triangles.
2) The height of the 45/45/90 is X meters; the height of the 30/60/90 is (X+10) meters.
3) The hypotenuse of these 2 triangles is meant to be the SAME.
GMAT assassins aren't born, they're made,
Rich