Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
away from each other and using angle measuring device they can determine the angle from
each of their ships to the signal fire. The angle at ship A is 82º and the angle at ship B is 78º
How far is it from Ship B to the signal fire at point C?

The distance from Ship B to the signal fire at point C is

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

Now, we shall solve the problem using the law of sines,

Substituting the values, we have,

Simplifying, we get,

Thus, the distance from Ship B to the signal fire at point C is

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

step-by-step explanation: