Respuesta :
[tex]\\ \sf\longmapsto sin30=\dfrac{5/2}{x}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2.5}{sin30}[/tex]
[tex]\\ \sf\longmapsto x=2.5/0.57[/tex]
[tex]\\ \sf\longmapsto x=4.3[/tex]
Option D is correct
The value of x is 5
How to solve for x
To solve for x, we make use of the following sine ratio.
sin(30) = Opposite/Hypotenuse
So, we have:
[tex]\sin(30) = \frac{5/2}{x}[/tex]
Evaluate sin(30)
[tex]\frac 12 = \frac{5/2}{x}[/tex]
Solve for x
[tex]x = \frac{5/2}{1/2}[/tex]
Evaluate the quotient
[tex]x = 5[/tex]
Hence, the value of x is 5
Read more about sine ratios at:
https://brainly.com/question/2920412