The right angle triangle representing this scenario is shown below
A represents the beacon light
AB is the ship'e horizontal distance from the lighthouse
Taking angle A which is the angle of elevation as the reference angle,
opposite side = BC = 132
adjacent side = AB
To find AB, we would apply the tangent trigonomeric ratio which is expressed as
Tan # = opposite side/adjacent side
Therefore,
Tan 5 = 132/AB
ABtan5 = 132
AB = 132/tan5
AB = 1508.8
The ship's horizontal distance from the lighthouse and the shore is 1508.8 feet
