Respuesta :

Since my computer wont let me do right the actual answer on this comment I have resorted in just telling you what letter is the correct answer, the correct answer that I cam up with was D. Hope I wasn't too late to answer, and that this answer was accurate. :))

the correct choice is A

tan A = [tex]\frac{BC}{AC}[/tex]

require to calculate AC using Pythagoras' identity

AC = √(40² - 12² ) = √(1600 - 144 ) = √1456 = 4√91

tanA = 12/(4√91 ) = 3/√91 × √91/√91 ( rationalising the denominator )

tanA = [tex]\frac{3\sqrt{91} }{91}[/tex]