Question

1. A sailor on ship A measures the angle between ship B and the pier and finds that it is 39°. A sailor on ship B measures the angle between ship A and the pier and finds that it is 57°. What is the measure of the angle between ships A and B?

Answer 1

To find the angle between ships A and B, we must consider that the angles measured from both ships to the pier and the angle between them total 360°. By subtracting the angles from ship A and B to the pier from 360°, we get the angle between the two ships, which is 264°.

Step-by-step explanation:

The angle between ships A and B can be found by analyzing the angles measured from each ship to the pier. Since we are dealing with angles around a point, the sum of these angles will equal 360°.

For ship A, the angle to ship B plus the angle to the pier is 360° - 39° because 39° is the angle from ship A to the pier. For ship B, the angle to ship A plus the angle to the pier is 360° - 57° because 57° is the angle from ship B to the pier.

If we let x be the angle between ship A and ship B, then we have:

x + 39° + 57° = 360°

x = 360° - 39° - 57°

x = 264°

The measure of the angle between ships A and B is 264°.