Question

PLEASE HELP ME ASAP!!!!!

Answer 1

We know from the triangle sum theorem that the sum of the angles in a triangle is 180°. We can just add the angles and substitute to solve for ∠A.

∠A + ∠B + ∠C = 180

∠A + 58 + 90 = 180

∠A = 32

So, ∠A is 32°.

Next, we need to find CB and AB.

To find AB, we can use the sin of ∠B.

sin(∠B) = AC / AB

sin(58) = 13 / AB

AB = 13 / sin(58)

AB = 15.3

Then, we can just use the pythagorean theorem to solve for CB.

CB² + AC² = AB²

CB² + 13² = 15.3²

CB² + 169 = 234.09

CB² = 65.09

CB = 8.1