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Two docks, A and B, are located on a circular pond as shown in the diagram below. A surveyor wants to determine the distance these two docks are from each other across the pond. The surveyor, located at point S, knows that he is 200 yards from both docks, and his measuring equipment indicates that there is a 90° angle between his sight lines to dock A and to dock B. How far, to the nearest tenth of a yard, is it across the pond from dock A to dock B?

 

 Feb 17, 2021
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AS  and  BS   form  legs  of  a right triangle  and  each  = 200  yds

 

So AB   =   sqrt  (200^2  + 200^2)  =  sqrt (200^2  * 2)   =  200sqrt (2)   { yds }  ≈ 282.8 (yds}

 

 

cool cool cool

 Feb 17, 2021
edited by CPhill  Feb 17, 2021

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