If anyone can figure this problem out i will give chu brianliest

3/5

Step-by-step explanation:

ABC ≅DEF

B = 90 degrees

BC = 16 and AC = 20

That means

A=D

B=E

C=F

The scale factor is 1/3

AB = 3 DE

BC = 3 EF

AC = 3 DF

We know that trig functions only depend on similarity not congruence so

sin C = sin F

Using the Pythagorean theorem we can find AB

AB^2 +BC^2 = AC^2

AB^2 +16^2 = 20^2

AB^2 +256 = 400

Subtract 256 from each side

AB^2 +256-256 = 400-256

AB^2 =144

Take the square root of each side

AB = sqrt144

AB = 12

sin C = opposite side /hypotenuse

opposite side is AB  hypotenuse = AC

sin C = AB/AC

sin C = 12/20

sin C = 3/5

Sin C = sin F = 3/5

where r the answers

step-by-step explanation: