Ships a and b or 1425 feet apart and detect a submarine below them

Step-by-step explanation:

See attachment for complete question

Let the position of the submarine be represented with X

Given

First, we calculate angle at X.

Solving (a): Distance AX: The distance between ship A and the submarine

To do this, we apply sine formula which states

In this case:

Substitute values for AB, and

Make AX the subject

Solving (b): Distance BX: The distance between ship B and the submarine

To do this, we apply sine formula which states

In this case:

Substitute values for AB, and

Make BX the subject

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl