A ship 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?

Question

Savannah Richardson

12 September, 01:21

+3

Answers (1)

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Caylee Hahn · Answer 1

Use the sine rule:-

x / sin 48 = 4590 / sin (180-48-55)

x / sin 48 = 4590 / sin 103

x = 4590 * sin 48 / sin 103 = 3500.8 yards to nearest tenth