Question

What is the approximate length of RP? Round to the nearest tenth.

Answer 1

From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.
 
RQ is perpendicular to QP
Triangle RQP is a right-angled triangle

by Pythagoras theorem

$RP= \sqrt{5.3^{2}+ 3^{2} }=6.1$ units (rounded to one decimal place)