Answer:
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.
[tex]\frac{x}{sin48}=\frac{4590}{sin77}[/tex]
[tex]\frac{x}{0.743}=\frac{4590}{0.974}[/tex]
x = [tex]\frac{4590\times0.745}{0.974}[/tex]
x = 3501.40 ≈ 3501 yards
Therefore, distance between Norman and Voyager is 3501 yards.
