How Do You Calculate Vector Displacement from a Plane to a Ship?

[yj-k91]

can some1 help me with this question??

A radar station locates a sinking ship at range 18.2 km and bearing 134° clockwise from north. From the same station a rescue plane is at horizontal range 20.0 km, 151° clockwise from north, with elevation 2.33 km. What is the vector displacement from plane to ship, letting i represent east, j north, and k up. Enter answers in this order and include units.

i tried it myself but i can't get the answer. please help

 

[drizzle]

hello yj-k91 and welcome to PF
consider the radar station as the original point [zero point], then represent the position of both ship and plane in the form of:

V_ship=x₁i+y₁j+z₁k

V_plane=x₂i+y₂j+z₂k

now, x and y values can be calculated using the given angles and distances [note that the angles are clockwise from the y-axis], the vector displacement from plane to ship will be:

V_d=V_ship-V_plane

 

[yj-k91]

thank you so much drizzle.