c$.$ In a high ceiling office space, a fire occurs with a heat release rate of on a floor area of $\backslash (2\backslash$mathrm$\{$~m$\}^\{2\}\backslash ).$ The mechanical smoke ventilation at the ceiling starts by means of a heat detector located at the ceiling exactly above the centre of the fire. If the activation temperature of the heat detector is $\backslash (68^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ propose the height of the hall ceiling at which the smoke ventilator will be activated. You may use APPENDIX A to get the required information. APPENDIX A

Table $1$: Maximum Fire Sizes for Common Combustible Objects and occupancies