Answer:
[tex]\dfrac{7}{25}=0.28[/tex]
Step-by-step explanation:
The triangle EFD is right triangle. By the Pythagorean theorem,
[tex]ED^2=EF^2+FD^2,\\ \\25^2=EF^2+24^2,\\ \\625=EF^2+576,\\ \\EF^2=49,\\ \\EF=7[/tex]
By the definition,
[tex]\sin D=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{EF}{ED}=\dfrac{7}{25}=0.28.[/tex]
