HINT the easier way to do this question is to set the parameter $\theta$ as the angle between the ladder and the ground, so that you are minimising the function $$l=h\csc\theta+w\sec\theta$$
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HINT the easier way to do this question is to set the parameter $\theta$ as the angle between the ladder and the ground, so that you are minimising the function $$l=h\csc\theta+w\sec\theta$$