Answer
The number of turns required is 35.
Work Step by Step
Given that the 20 turns of handle retrieve 100 ft. Now, the task is to find number of turns required to retrieve 175 ft. From the given data, the number of turns required for one feet is $\frac{20}{100} = \frac{1}{5}$. So, the total number of turns required for 175 ft is $\frac{1}{5} \times175 = 35$.