The angle of elevation of the top of a 75m tower from a ship and a boat are26.4 and 574 respectively given that the ship ,boat and the foot of the tower are on the same horizontal

Using the tangent function: tan(angle) = opposite / adjacent
tan(26.4°) = 75 m / x_ship
x_ship = 75 m / tan(26.4°)
x_ship = 75 m / 0.4957
x_ship ≈ 151.30 m

tan(57.4°) = 75 m / x_boat
x_boat = 75 m / tan(57.4°)
x_boat = 75 m / 1.5620
x_boat ≈ 48.02 m

Since both are on the same horizontal line from the tower, the distance between them is the difference of their distances from the tower.
Distance = x_ship - x_boat
Distance = 151.30 m - 48.02 m
Distance ≈ 103.28 m

Rounding to one decimal place, the distance is 103.3 meters.