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:
Where:
a = 13 km
b = 46 km
Substitute values into the equatiion:
Take the square root of both sides:
Therefore, Lisa is approximately 47.8 kilometers from her starting point
ANSWER:
47.8 km