From a ship's masthead 180m high, the angle of depression of a boat is observed to be 60°. Find the distance (in m) of the boat from the ship.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 60
Given:
Ship's masthead is 180m high
Angle of depression of a boat is observed to be 60°
Formula used:
tanθ = perpendicular/base ----- (1)
Calculations:
Let BC be the distance between the boat and the ship
Using equation (1), we get

⇒ tan 60 = AB/BC
⇒ √3 = 180/BC
⇒ BC = 60√3