You have a potato cannon, located 30 m from the start of a hill. The hill is inclined at \(\theta = \pi/6\) radians, and your cannon fires potatoes with \(v_0 = 40\) m/s. If you want to hit a target located 80 m up the hill (measured along the hill), what is the smallest angle, \(\phi_\text{min}\), to which you can set your cannon (in radians)?

**Details**

- \(g = 9.81\) m/s

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