7. (10pt) In ABC, ∠A = 54^∘, ∠B = 33^∘, and side b = 18. Find side a of ABC to the nearest tenth

Question

7. (10pt) In \triangle ABC, \angle A = 54^\circ, \angle B = 33^\circ, and side $b = 18$. Find side $a$ of \triangle ABC to the nearest tenth. 8. (a) (5pt) Prove the identity: $\frac{1 - \cos^2 x}{\sin x \cdot \tan x} = \cos x$ (b) (5pt) Find $\sin \theta$ if $\tan \theta = \frac{5}{6}$

          7. (10pt) In \triangle ABC, \angle A = 54^\circ, \angle B = 33^\circ, and side $b = 18$. Find side $a$ of \triangle ABC to the nearest tenth.
8. (a) (5pt) Prove the identity: $\frac{1 - \cos^2 x}{\sin x \cdot \tan x} = \cos x$
(b) (5pt) Find $\sin \theta$ if $\tan \theta = \frac{5}{6}$