From the top of a tree the angle of depression of a boat is 30degree if the height of a tree is 36m above the sea level calculate the horizontal distance of the boat from the bottom of a tree?

Answer 1

I assume you made a sketch

In mine, 36/x = tan30°

x = 36/tan30 , but I know from my basic 30-60-90 triangle that tan30 = 1/√3

x = 36/(1/√3)
= 36√3 m or appr 62.35 m