Determine the approximate value of θ. (plz no wrong answers, it's not 52.1)
group of answers:

38.9

51.1

37.9

52.1

Step-by-step explanation:

 51.1

Step-by-step explanation:

In the given picture , we have a right triangle Δ DEF right-angled at ∠F i.e. ∠ F= 90°.

Hypotenuse = DE = 9 units  (Side opposite to right angle is hypotenuse)

and FD = 7 units

According to the trigonometry in a right triangle ,

In Δ DEF

So ,

[tex]\sin\theta=\dfrac{7}{9}\\\\ theta =\sin^{-1}(\dfrac{7}{9})\\\\=51.05755873\approx 51.1\ \ [\text{By using sin calculator.}]/tex]

Hence, the approximate value of θ is 51.1.

So the correct answer is "51.1".

the answers c