Question

EASY PLEASE HELP!

Nadie drove to a birthday party by following directions from her friend. From her house, she drove 6 miles east, 2 miles south, 14 miles west, then 23 miles north. Figure out each direction with the number of miles she must drive in that direction to return home.

*for example, to return back home, she must drive - miles north, - miles south, ext...

Answer 1

\(\triangle\) y = north & south
\(\triangle\) x = north & south

Let north be +, let south be -
Let east be +, west be -

example:
6 miles east \( \rightarrow \) +6

6-14
-2+23

Answer 2

Whoops typo, \(\triangle\)x = east & west

Answer 3

See if you can find \(\triangle\)x and \(\triangle\)y :-)

Answer 4

Then if you need an angle, use:
\[\tan^{-1}(\frac{\triangle y}{\triangle x})\]
which could also be written:
\[\tan^{-1}(\frac{\triangle rise}{\triangle run})\]

Answer 5

Then if you need a direct linear distance from the ending point to the starting point
\[a^2+b^2=c^2\]
turns into:
\[distance=+\sqrt{x^2+y^2}\]