Question

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

Answer 1

The correct answer is second option

Sin D = 4/5

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

Answer 2

Answer: second option.

Explanation:

You must apply
`sin\alpha=(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=(20)/(25)`

Reduce the fraction, then you obtain:

`sinD=(4)/(5)`