PLEASE HELP WILL MARK BRAINLIEST

Apply the sine theorem in triangle ABC:

sin C = AB/AC = 4/5

=> C  = arcsin(4/5) = 53.13 deg

As shown in picture, AB//CD. Using the same side interior angles theorem:

=> angle BCD = angle ABC = 90 deg

=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg

Apply the cosine theorem in triangle ACD:

cos C = AC/CD

=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25

=> Option C is correct

Hope this helps!

:)

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: