In triangle abcabca, b, c, the measure of \angle b∠bangle, b is 90^\circ90 ∘ 90, degree, bc=16bc=16b, c, equals, 16, and ac=20ac=20a, c, equals, 20. triangle defdef d, e, f is similar to triangle abcabca, b, c, where vertices ddd, eee, and fff correspond to vertices aaa, bbb, and ccc, respectively, and each side of triangle def d, e, f is \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction the length of the corresponding side of triangle abcabca, b, c. what is the value of \text{sin }f sin fs, i, n, space, f