Answer:
x ≈ 16.6 units
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact is 90° , so
Δ ABC is a right triangle at ∠ B
Using Pythagoras' identity in the right triangle
x² + 7² = 18²
x² + 49 = 324 ( subtract 49 from both sides )
x² = 275 ( take the square root of both sides )
x = [tex]\sqrt{275}[/tex] ≈ 16.6 ( to the nearest tenth )
