Respuesta :

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]