Consider a job that requires workers to move empty tote boxes from an incoming conveyor to an outgoing J-hook conveyor located overhead at a height of 90 in. from the floor (i.e., Height (AD) = 90 in.) as shown in the accompanying figure. The tote box when empty has negligible weight and has a depth of 15 inches (i.e., in the figure it would be from the mid-hand to the top edge of the tote box). Assume that workers are standing on the floor, can use a one-handed overhead reach, and can approach the conveyor horizontally as close as needed to reach overhead (i.e.. there no side platform or barrier to approach). The plant design engineer is considering introducing a new platform for workers to stand on so that more workers can reach the overhead J-hook. Answer the following questions (note - you need to also consider the tote-box depth). Show your detailed calculations including the formulas you used for each calculation. (1) What is your estimate for the percentage of male workers that can reach the overhead J- conveyor hook at a height of 90 inches from the floor? (2) What is your estimate for the percentage of female workers that can reach the overhead J- conveyor hook at a height of 90 inches from the floor? (3) What is the minimum height of the platform to stand on so that at least 95% of female workers can reach the overhead J-hook conveyor located at a height of 90 inches?