Aship at sea, the gladstone, spots two other ships, the norman and the voyager, and measures the angle between them to be 48°. the distance between the gladstone and the norman is 4590 yards. the norman measures an angle of 55° between the gladstone and the voyager. to the nearest yard, what is the distance between the norman and the voyager?

Distance between Voyager and Norman is 3501 yards.

Step-by-step explanation:

In the figure attached, There are three ships Gladstone, Norman and Voyager based at vertices of a triangle.

Distance between Gladstone and Voyager is 4590 yards, angle between Norman and Voyager is 48° and angle between Gladstone and Voyager is 55°

Since we know m∠N + m∠G + m∠V = 180° [ angles of a triangle ]

So 48 + 55 + m∠V = 180

m∠V = 180 - 103

m∠V = 77°

Now we apply sine rule in the triangle.

x =

x = 3501.40 ≈ 3501 yards

Therefore, distance between Norman and Voyager is 3501 yards.

what's the question?

step-by-step explanation:

there is no question.