Respuesta :

6.1 units is the correct answer

The length of RP is 6.1 units.

What is tangent?

The tangent is defined as a line touching circles or an ellipse at only one point.

given:

QR is a tangent, the length of RQ = 5.3

radius of the circle, QP = 3 units

As,  tangent to a circle is perpendicular to the radius

So, ∠PQR = 90°

Now in ∆ PQR,

RP² = RQ² + QP²

RP² = 5.3² + 3²

RP = √[5.3² + 3²]

RP = √[28.09 + 9]

RP = √[37.09]

RP = 6.0901  

RP = 6.1  units

Hence, the length of the RP is 6.1 units

Learn more about tangent here:

https://brainly.com/question/10053881

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