Problem 1. You have been hired as an ergonomist at an ofce furniture company that makes custom furniture for large ofce spaces. Your rst client is Big Tech Inc. who have asked you to design work desks for their ofce in Austin. Assuming that the working population is North American and is gender balanced, decide on the desk height by answering the following questions a) b) d) Assuming that the ideal posture for seated work is as shown in gure 1 (left), nd the equation for ideal desk height for a person with stature x. Use the proportions given in gure 1 (right). (15 Points) Assuming that the stature of the average North American male and female are 175.3 cm i 6.5 cm and 162.6 cm i 5.1 cm respectively, calculate the ideal desk height for i. 50th percentile person (15Points) ii. 95th percentile male (15 Points) iii. 5th percentile female (15 Points) Recalculate the ideal desk height for the 95th percentile male and the 5th percentile female using the proportions from the Roozbazar table (in the lecture slides). Between the ideal desk heights calculated here and the ones calculated in b.ii) and b.iii), which value is more accurate and Why? (40 points) Redo the calculations performed in a) and b) for prolonged sitting. [Hintz How would the ideal posture change in case of prolonged sitting] (Bonus: 30 points) Ideal desk hel ht feet on the ground Figure 1: Ideal posture for ofce work (left). Body segment lengths expressed as a proportion of stature (right)