Question

What is the magnitude and direction of line GH if G(1, -6) and H(8, 3) ?

A) magnitude: 11.4 units: direction: 37.87
B) magnitude: 11.4 units; direction: 52.13°
C) magnitude: 7.62 units; direction 37.87°
D) magnitude: 7.62 units: direction: 52.13

Answer 1

magnitude can be found by\[m=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\]
angle can be found by applying inverse trigonometry to the dimensions of the line segment as a right triangle.
specifically
\[\tan^{-1}\left( \frac{9}{7} \right)\]

Answer 2

thanks its b (:

Answer 3

and now you know what to do next time. just make sure you know how to get the sides for the ratio.

Answer 4

willll do