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?

Answer 1

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).