Question

In ΔDEF, what is sin D, in simplified form?

Answer 1

Answer: second option.

Step-by-step explanation:

You must apply $sin\alpha=\frac{opposite}{hypotenuse}$

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

$opposite=20\\hypotenuse=25$

Therefore, when you substitute values, you have:

$sinD=\frac{20}{25}$

Reduce the fraction, then you obtain:

 $sinD=\frac{4}{5}$

Answer 2

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