Solve the triangle below without using either the cosine or tangent ratios. Show your work.

Question

Answer 1

Hi Cheyenne L.

Per your statement above, you can use the sine, then apply the Pythagorean Theorem properly, and calculate the complement of angle A give that a try.

I get a=6.2517 and b=14.7281, B=67°

Answer 2

I guess this is forcing you to use sin for example. a/16 = sin(23) or a = 16 sin(23)

b = sqrt(16² - 16²sin²23) = 16sqrt(1 - sin²(23)) (this is, of course, 16 cos(23))