Answer:
The distance close to the peak is 597.4 m.
Explanation:
Given that,
Distance of the first ship from the mountain 
Height of island
Distance of the enemy ship from the mountain 
Initial velocity 
Angle = 74.9°
We need to calculate the horizontal component of initial velocity
Using formula of horizontal component

Put the value into the formula


We need to calculate the vertical component of initial velocity
Using formula of vertical component

Put the value into the formula


We need to calculate the time
Using formula of time



We need to calculate the height of the shell on reaching the mountain
Using equation of motion

Put the value in the equation


We need to calculate the distance close to the peak
Using formula of distance

Put the value into the formula


Hence, The distance close to the peak is 597.4 m.