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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you first have to use the pythagorean theorem to find the length of AB

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1AC^2 + BC^2 = AB^2 36^2 + 24^2 = x^2 1296 + 576 = x^2 keep going to solve for x

samalami
 2 years ago
Best ResponseYou've already chosen the best response.0x=+/ 12 to the power of 13

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you mean \[\Large x = \pm 12\sqrt{13}\] right?

samalami
 2 years ago
Best ResponseYou've already chosen the best response.0yes :) @jim_thompson5910

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1since AB is the length and x is the length, we only consider positive lengths so \[\Large x = 12\sqrt{13}\] which means \[\Large AB = 12\sqrt{13}\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1now use the definition of sine, plug in the lengths, and simplify sin(angle) = opposite/hypotenuse sin(A) = 24/(12*sqrt(13)) sin(A) = 2/(sqrt(13)) sin(A) = (2*sqrt(13))/(sqrt(13)*sqrt(13)) sin(A) = (2*sqrt(13))/(13)

samalami
 2 years ago
Best ResponseYou've already chosen the best response.0ughhh thank you so much! FINALLY I understand this nonsense.
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