Hi! The question is really confusing to me. I can't sketch/visualize the problem. :(

From a given position an observer notes that the angle of elevation of a rock is 47 degrees. After walking 1000 feet towards the rock, up a slope of 32 degrees, he finds the angle of elevation to be 75 degrees. Find the vertical distance of the rock above each point of observation.

2 answers

Label the two observation points A,B and the rock R.

Drop a vertical from R and draw horizontals from A,B to intersect it at M,N. So, AM and BN are horizontal lines.
Let RN intersect the slope at P.

Drop a vertical from B to intersect AM at C.

We want the distances RN and RM

RN/BN = tan 75°
RM/AM = tan 32°
AM = BN + 1000 cos47°
RM = RN + 1000 sin47°

That should get you started. Let us know how things go.
Oh, I forgot, we were supposed to use the Sine Law. Sorry :3