Question 1151559
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Diagram
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With angle A = 64 as the reference angle, AB = 6 is the adjacent side and AC = x is the hypotenuse.


Cosine deals with the ratio of the adjacent over hypotenuse.


cos(angle) = adjacent/hypotenuse
cos(A) = AB/AC
cos(64) = 6/x
x*cos(64) = 6
x = 6/cos(64)
x = 13.6870322 approximately
x = 13.69


The hypotenuse of the right triangle is approximately 13.69 feet long.
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