not sure (how long she traveled)

[george22]

Here is another problem I cannot figure out.

1. If Jamie left home going 4 miles in the east direction, then decided to go 50 degrees toward the northeast and walked 3 miles, how long had she traveled after the 7 miles? (decimal answer)

 

[stapel]

No information is provided after the first seven miles, so I don't see how it is possible to draw any conclusions. Sorry.

Eliz.

 

[soroban]

Hello, george22!

Please give us the original wording of the problem.

Here is another problem I cannot figure out.
\(\displaystyle \;\;\)I can't figure out what the problem says!

1. If Jamie left home going 4 miles in the east direction,
then decided to go 50 degrees toward the northeast and walked 3 miles,
how long had she traveled after the 7 miles? (decimal answer)

How long ? . . . That sounds like a reference to time.

If they wanted distance, they would have said "how far", wouldn't they?

"After the 7 miles"? . . . Who knows what she did later . . .


Okay, I'll take a flying leap at an interpretation . . .

                           * C
                      *  /
                  *    /
              *     3/
          *        / 50°
      * - - - - -* - - -
      A     4     B

Jamie started at \(\displaystyle A\), walked 4 miles east to \(\displaystyle B\),
\(\displaystyle \;\;\)then turned \(\displaystyle 50^o\) to the north and walked 3 miles to \(\displaystyle C.\)

The question could be: How far is she from her starting point (distance AC) ?

Since we have a \(\displaystyle 50^o\) angle there, then \(\displaystyle \angle ABC\,=\,130^o\)
And we can use the Law of Cosines to find \(\displaystyle AC\).

\(\displaystyle \;\;AC^2\;=\;3^2\,+\,4^2\,-\,2\cdot3\cdot4\cdot\cos130^o\)


Am I even close?