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you are standing at point b. point b is 16 feet from the center of the circular water storage tank and 15 feet from point A. AB is tangent to O at A. find the radius of the tank

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The points A and B and the center O of the circle form a right angle and AO = radius.
So by Pythagoras
16^2 = 15^2 + AO^2

AO = sqrt (16^2 - 15^2)

AO ( radius) = sqrt31 = 5,57 feet answer (to nearest hundredth)
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