A radar station locates a sinking ship at range 16.7 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 153° clockwise from north, with elevation 2.40 km.

(a) Write the displacement vector FROM plane TO ship, letting i represent east, j north, and k up.

(b) How far apart are the plane and ship?

1 answer

(a)i = [19.6 * cos(153º - 90º)] -
[16.7 * cos(136º - 90º)]

j = [19.6 * sin(153º - 90º)] -
[16.7 * sin(136º - 90º)]

k = 2.40 - 0

(b) d = √(i^2 + j^2 + k^2)