a light house has an angle of depression from the top of 34 degrees and is 30 meters tall. how far from the base of lighthouse is the boat?

If the "angle of depression" is the angle below horizontal when looking at the boat from the lighthouse, then draw yourself a figure to show that

H/X = tan 34.
X = H cot 34 = 44.5 m
X is the distance you want and H is the height of the lighthouse (30 m).