Answer:
The value of x in the given triangle round to the nearest hundredths is:
4.59
Step-by-step explanation:
From the given triangle we observe that the side x is the opposite side corresponding to angle 35°.
i.e. we will use sine trignometric ratio in the triangle to get the value of x.
We know that:
[tex]\sin 35=\dfrac{x}{8}ddd[/tex]
Since the sine of an angle is the ratio of opposite side to the hypotenuse of the right angled triangle.
i.e.
[tex]x=8\times \sin 35\\\\i.e.\\\\x=8\times 0.5736\\\\i.e.\\\\x=4.588[/tex]
which is approximately equal to 4.59 units.