QUESTION $3[6$ Marks$]$

As an electrical engineer, you are tasked with designing a new electrical installation for a small workshop. The workshop has recently acquired a new piece of $230$ V machinery that requires a single$-$phase power supply with a load of $8\mathrm{.}4$ kW $.$ The machine will be located $28$ meters away from the main distribution board. The cable to be used is a single$-$core, non$-$armoured copper cable with thermoplastic insulation rated at $\backslash (70^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The ambient temperature in the workshop is typically around $\backslash (35^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ Additionally, the cable will be installed in trunking alongside two other circuits. To ensure safety, the circuit will be protected by a BS EN $60898$ Type B device as given in Table $1.$ Given these conditions, determine is the appropriate size of the cable required to safely and efficiently supply power to the new machinery complying to maximum $\backslash (4\backslash \%\backslash )$ voltage drop? You may refer to any relevant tables in the Appendix.

Table $1$ Circuit breaker rating