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Answer :

Answer:

x = 14.55

Step-by-step explanation:

Given that,

The hypotenuse of the triangle, H = 19

Angle, [tex]\theta=40^{\circ}[/tex]

We need to find the value of x. We can use trigonometry to find it such that,

[tex]\cos\theta=\dfrac{B}{H}[/tex]

Where

B is base and H is Hypotenuse

We have, B = x and H = 19

So,

[tex]\cos(40)=\dfrac{x}{19}\\\\x=19\times \cos(40)\\\\x=14.55[/tex]

So, the value of x is equal to 14.55.