ANSWER
sin ∠D = 0.86
EXPLANATION
The sine of an angle of a right triangle is:
[tex]\sin \theta=\frac{\text{ opposite side}}{\text{ hypotenuse}}[/tex]
This is triangle DEF:
So the sine of angle D is side EF divided by side DE:
[tex]\begin{gathered} \sin \angle D=\frac{EF}{DE} \\ \sin \angle D=\frac{56}{65} \\ \sin \angle D\approx0.86 \end{gathered}[/tex]
