MR X was at the crown of the statue of liberty in an island of New York City. He sighted a cargo ship coming into New York harbor with an angle of depression 35 degree. How far is the cargo ship from the base of the statue of liberty

d = h/1.43

Step-by-step explanation:

Given

Angle of depression = 35°

To Find

Distance between cargo ship and base of The Statue of Liberty

Solving

Let the height of the statue be 'h' and distance between it and the ship be 'd'Upon changing the viewpoint (you'll see why) to the ship viewing the top of the statue, the angle is now (90 - 35)° = 55°Then, upon taking the tan ratio of the angle between them :

⇒ tan 55° = h/d

⇒ 1.43 (approx.) = h/d

⇒ d = h/1.43

[∴ Input the value of height in this formula if it is given, and you should be able to get your answer.]