Verified Answer :

Answer:10.8 units

Step-by-step explanation:

Answer: The approximate length of PQ is 10.8 unit.

Step-by-step explanation:

Here the coordinates of point P are (-3,7) and the coordinates of Q are (6,1)

Thus, by the distance formula,

The distance between the points P and Q is,

\(PQ = \sqrt{(6-(-3))^2+(1-7)^2}\)

\(=\sqrt{(6+3)^2+(-6)^2\)

\(=\sqrt{9^2+ 36}\)

\(=\sqrt{81+36}=\sqrt{117}=10.8166538264\approx 10.8\)

Thus, the approximate length of PQ is 10.8 unit.