From a parking lot you want to walk to a house on the ocean. The housea paved road that parallels the ocean, which is 500 feet away

paved-road

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From a parking lot you want to walk to a house on the ocean. The house is located 1500 feet down a paved road that parallels the ocean, which is 500 feet away. Along the path you can walk 300 feet per minute, but in the sand you can only walk 100 feet per minute. Time can be expressed as T(theta) = 5 - (5/3tantheta)+(5/sintheta), 0<theta<pi/2. Hint tantheta = 500/1500

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