Answer:
Sin D = 7 / 25
Explanation:
The value of sin D is given by
[tex]\sin D=\frac{\text{opposite}}{\text{hypotenuse}}[/tex][tex]\sin D=\frac{EF}{25}[/tex]
but we need to find the length EF.
Now the Pythagoras' theorem says
[tex]EF^2+24^2=25^2[/tex]
Solving for EF gives
[tex]EF^2=25^2-24^2[/tex][tex]EF^2=49[/tex]
taking the square root of both sides gives
[tex]EF=\sqrt[]{49}[/tex][tex]EF=7[/tex]
With the value of EF in hand, we now have
[tex]\sin D=\frac{EF}{25}=\frac{7}{25}[/tex][tex]\boxed{\sin D=\frac{7}{25}\text{.}}[/tex]
which is our answer!
