Q3. [5 marks] How long is the shortest ladder that can lean against the wall and clear a 2x1 abutment as shown in the diagram. [A useful technical item is that the function tan that appears on your calculator is an abbreviation for the quotient sin/cos. It will be useful to have the tan and tan-1 functions available for this problem. Please provide 3-decimal place accuracy in your calcula- tion of the length of the shortest ladder. https://www.desmos.com/calculator/bcbxwzs1rx -4- -3- -2 a b ---1- 0 Ꮎ 2 3

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