Respuesta :

Answer: second option.

Step-by-step explanation:

You must apply [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

[tex]opposite=20\\hypotenuse=25[/tex]

Therefore, when you substitute values, you have:

[tex]sinD=\frac{20}{25}[/tex]

Reduce the fraction, then you obtain:

 [tex]sinD=\frac{4}{5}[/tex]

Answer:

The correct answer is second option

Sin D = 4/5

Step-by-step explanation:

Trigonometric ratio

Sinθ = Opposite side/Hypotenuse

From the figure we can see a right angled triangle DEF

Right angled at F and ED is the hypotenuse

To find the simplified form of Sin D

Sin D = Opposite side/Hypotenuse  

      = 20/25 = 4/5

Therefore the value of Sin D = 4/5

The correct answer is second option