Solve the triangle if b=16 and B = 55 degree

I'm assuming it's a right triangle.

One of the angles is 55 degrees.

The side opposite the 55 degree angle is length 16.

The other angle is 35 degrees.

Draw it.

use the fact that csc = hypotenuse/opposite

to write

hypotenuse = 16 csc (55)

use the fact that cot = adj / opposite

to write

adj = 16 cot (55)