<p>A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is&nbsp;<span class="equation">\(\theta = tan^{-1}\)</span>&nbsp;(x X&nbsp;<span class="equation">\(10^{-1}\)</span>. The value of x is_____</p>

<p>(Given g = 10<span class="equation">\(m/s^2\)</span>)​​​​​​​</p>