The length of the diagonal will be given by:
cos θ=adjacent/hypotenuse
θ=35°
hypotenuse=h
adjacent=80 inches=6.66667 ft
thus;
cos 35=6.66667/h
h=6.66667/cos35
h=8.1385 ft
diagonal=8.1385 ft
we conclude that the table will through the door diagonally.
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