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Question
4 numeric 1 point
soo kyong rowed north 5.2 miles and a certain number of miles west. when she is done rowing, she is 13.3 miles from her starting point. how far west did she row, in miles? round your answer to the nearest tenth.
answer
Step1: Apply Pythagorean theorem
Let $x$ = west distance. $x^2 + 5.2^2 = 13.3^2$
Step2: Calculate squared values
$x^2 + 27.04 = 176.89$
Step3: Isolate $x^2$
$x^2 = 176.89 - 27.04 = 149.85$
Step4: Solve for $x$
$x = \sqrt{149.85} \approx 12.2$
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12.2