Krishna
0

Step 1: Recall the law of sines formula

FORMULA: \frac{a}{\sin A} = \frac{b}{ \sin B} = \frac{c}{\sin C}

Here each lowercase letter (like a) is the length of the side

opposite the vertex labeled with the same capital letter (like A).

Step 2: Find the unknown length by using the law of sines formula

From the figure

Since you know the measure of \angle T =25\degree , the length t of its opposite side,

And the measure of \angle S  = 22\degree

Use the Law of Sines to find the length s of the side opposite \angle S .

Law of sines

\frac{s}{\sin S} = \frac{t}{\sin T}

\frac{s}{\sin 22\degree} = \frac{15}{\sin 25}

\frac{s}{0.374} = \frac{15}{0.422}

s = 0.374 *35.493

s = 13,295