Answer:
14.7
Step-by-step explanation:
The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).
To solve for x, we use the pythagorean theorem as this is a right triangle:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]11.8^{2} + 8.75^{2} = x^{2}\\139.24 + 76.5625 = x^{2}\\215.8025 = x^{2}\\x = 14.6902178...[/tex]
This is 14.7 when rounded to the nearest tenth
