Question

What is the value of sin D? 24/7 24/25 7/25 or 7/24

Answer 1

I think it’s 24/25..

Answer 2

`(7)/(25)=0.28`

Explanation:

The triangle EFD is right triangle. By the Pythagorean theorem,

`ED^2=EF^2+FD^2,\\ \\25^2=EF^2+24^2,\\ \\625=EF^2+576,\\ \\EF^2=49,\\ \\EF=7`

By the definition,

`\sin D=\frac{\text{opposite leg}}{\text{hypotenuse}}=(EF)/(ED)=(7)/(25)=0.28.`