A hiker heads across a plain in a direction she believes to be due West. Her compass is defective and her path is off by angle θθ to the North. She reaches a North-South road after walking...

A hiker heads across a plain in a direction she believes to be due West. Her compass is defective and her path is off by angle θθ to the North. She reaches a North-South road after walking 12.812.8 miles, but her map shows she should have reached that N-S road after walking only 11.211.2 miles.


The hiker must walk  miles South to reach her intended destination on this North-South road.


The angular error of her compass is  degrees. help (numbers)

Note: Although one of your answers might use the square-root function (sqrt), your second answer must be entered as a decimal approximation (accurate to at least three decimal places) because all trig functions are disabled from use in this problem.