2 trigonometry questions?

Question

give checks for the following two questions.

5. use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32* 28' 30"

6. use the method explained in Art. 23 to solve the triangle for which the given parts are a=27, b=21, and c=24.

Answer 1

I would use the law of cosines to find c
Then I would use the law of sines to find angle A .
Then angle B = 180 - (angle C+angle A).

Who knows what the method of Article 23 is?
I would simply use the law of cosines to find one of the angles, then the law of sines to find a second angle, and get the 3rd angle by subtracting the sum of the 1st two angles from 180.