Question

trig problem a dog walks 3.5 miles southeast then 8.2 miles north of east what is the resultant vector

Answer 1

8.9miles

Explanation:

Kindly find attached a rough sketch of the dog's movement.

Step one:

given data:

let the movement southeast be x,=3.5miles

and let the movement northeast be y=8.2 miles

let the resultant be z

Step two:

The resultant vector can be found using the Pythagoras theorem

z^2=x^2+y^2

z=√x^2+y^2

substituting we have

z=√3.5^2+8.2^2

z=√12.25+67.24

z=√79.49

z=8.9miles