Answer:
y ≈ 12.6
Step-by-step explanation:
the angle between a tangent and the radius of the circle at the point of contact is 90°
then the triangle with y as a leg is right.
using Pythagoras' identity in the right triangle.
y² + 39² = 41²
y² + 1521 = 1681 ( subtract 1521 from both sides )
y² = 160 ( take square root of both sides )
y = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )
