Question 913040
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1 yard = 3 feet
100 yards = 300 feet (multiply both sides by 3)



We have a right triangle with side lengths a = 300 ft, b = 160 ft, and an unknown hypotenuse c. Use the pythagorean theorem to find c.


{{{a^2 + b^2 = c^2}}}


{{{(300)^2 + (160)^2 = c^2}}}


{{{90000 + 25600 = c^2}}}


{{{115600 = c^2}}}


{{{c^2 = 115600}}}


{{{c = sqrt(115600)}}} Apply the square root to both sides


{{{c = 340}}}


The player ran exactly 340 feet. This is equivalent to 340/3 = 113.333 yards approximately. To convert from feet to yards, you divide by 3.


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Thanks,


Jim 
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