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

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w