Given:
Lisa drives 46 km south and 13 km east.
Let's find how far she is from her starting point.
The diagram below describes this situation:
From the diagram above, we have a right traingle.
To find how far she is from the starting point, apply pythagorean theorem.
Thus, we have the equation:
[tex]c^2=a^2+b^2[/tex]Where:
a = 13 km
b = 46 km
Substitute values into the equatiion:
[tex]\begin{gathered} c^2=13^2+46^2 \\ \\ c^2=169+2116 \\ \\ c^2=2285 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{2285} \\ \\ c=47.8 \end{gathered}[/tex]Therefore, Lisa is approximately 47.8 kilometers from her starting point
ANSWER:
47.8 km
