hgp2k wrote:

According to the question, line segment JK and LM represent two positions of the same board leaning against the side KN of a wall. So the hypotenuse of both the triangles is same.

Using 30:60:90 degree triangle and 45:45:90 degree triangle theorems, we can find out the answers using each statement alone.

Answer is D.

Please let me know if you want me to explain further.

Thanks

hgp2k and

aj1545 !! I missed the "same board", read it too quickly.

I was starting to think I had missed a geometry law lecture back in high school.