Answer:
Option A (134.7mm)
Step-by-step explanation:
Let's find the distance, but first we need to remember that the distance between two points with coordinates (Xa,Ya) and (Xb,Yb) is defined by:
[tex]distance = \sqrt{(Xb-Xa)^{2} + (Yb-Ya)^{2} }[/tex]
From the situation we notice that:
Xb=31.45 and Xa=65.35, as well as:
Yb=-55.50 and Ya=74.88
Using the previous equation we have:
[tex]distance = \sqrt{(31.45-65.35)^{2} + (-55.50-74.88)^{2} }[/tex]
[tex]distance = \sqrt{(-33.9)^{2} + (-130.38)^{2} }[/tex]
[tex]distance = \sqrt{1149.21 + 16998.9444}[/tex]
[tex]distance = \sqrt{18148.1544}[/tex]
[tex]distance = 134.7151mm[/tex]
In conclusion, the distance between points (65.35,74.88) and (31.45,-55.50) is 134.7151mm, which is option A (134.7mm).
