Answer: 0.8
Step-by-step explanation:
From the given picture, it can be seen that there is a right triangle,
Such that the side opposite to right angle (hypotenuse) =10 units
By using trigonometry , we get
[tex]\sin(53^{\circ})=\dfrac{\text{side opposite to } \sin(353{\circ})}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.79863551004=\dfrac{x}{10}\\\\\Rightarrow\ x=10\cdot0.79863551004\\\\\Rightarrow\ x07.9863551004\approx8.0\ units[/tex]
Hence, the value of x to the nearest tenth = 0.8 units
