SSC CGL 2022 PYQ — Question 71

SSC CGL - 21 April 2022 - Shift 1 • Quantitative Aptitude • Q71

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.  603\sqrt{3}

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

nukul_04_11_22_02

⇒ tan 60 = AB/BC

⇒ √3 = 180/BC

⇒ BC = 60√3