Solution:
Given:
The radius and tangent to a circle at the point of intersection are perpendicular to each other.
Hence, considering the right triangle;
Hence, the length of the missing side can be gotten using the Pythagorean theorem.
[tex]\begin{gathered} first\text{ leg}^2+other\text{ leg}^2=hypotenuse^2 \\ 8.4^2+x^2=10.5^2 \\ x^2=10.5^2-8.4^2 \\ x^2=39.69 \\ x=\sqrt{39.69} \\ x=6.3 \end{gathered}[/tex]
Therefore, to the nearest tenth, the length of the missing side is 6.3
