Question

As viewed from a cliff 340 ft above sea level a ship is 450 feet from the shore what is the angle of depression from the cliff to the ship on the water below

Answer 1

angle depression= angle of elevation
To get the angle of depression we use the formula:
tan x=opposite/adjacent
where x is the angle of elavation
opposite is the height of the cliff
adjacent is the distance of the ship from the shore
thus
tan x=340/450
tan x=34/45
x=arctan 34/45
x=37.07
hence the angle of elevation= angle of depression=37.1°