geometry

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The distance between Sue and a dude ranch was 30 mi. straight accross a rattlsnake-infested canyon. Instead of crossing the canyon, she hiked due north for a long time and then hiked due east for a shorter leg of the journey to the ranch. If she averaged 4 mph and it took her 9 hrs. to get to the ranch, then how far did she hike in a northernly direction? Round your answers to the nearest hundredth.

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