Answer:
29 m
Step-by-step explanation:
Given:
Height of tower h = 50
Angle of depression θ= 60°
The distance d between the boat and the tower is;
Applying trigonometry;
Tanθ = opposite/adjacent
θ = angle of depression
Opposite = height of tower
Adjacent = distance from the boat to the bottom of the tower.
Substituting we have;
Tan60° = h/d = 50/d
d = 50/tan60°
d = 28.86751345948
d = 29 m ( to the nearest meter)
the boat is 29 meters from the foot of the tower
