ship A is 29 miles from the lighthouse and ship B is 48 miles from the lighthouse the angle between the sightings is 60 degrees how far is ship A from ship B?

Question

How far is ship A  from ship B?

Answer 1

Ship a is 29 miles from the lighthouse, ship b is 48 miles, angle is 60. How far is ship a from b
ship A is 29 miles from the lighthouse ship b is 48 miles, angle is 60. how far is ship a from b?

Side AB = ?
Side OA = 29
Side OB = 48
Angle AOB = 60 degrees
According to the Cosine theorem we have:
AB^2 = 29^2 + 48^2 - 2*29*48*cos 60=> 1753
AB = √1753 = 41.87 miles