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Find x.
30 degrees
Y
X
5/2

Find X 30 Degrees Y X 52 class=

Sagot :

[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