Question

Lisa drives her car for 46 km south and then 13 km east. How far is she from her starting point?

Answer 1

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:

`c^2=a^2+b^2`

Where:

a = 13 km

b = 46 km

Substitute values into the equatiion:

`\begin{gathered} c^2=13^2+46^2 \\ \\ c^2=169+2116 \\ \\ c^2=2285 \end{gathered}`

Take the square root of both sides:

`\begin{gathered} \sqrt[]{c^2}=\sqrt[]{2285} \\ \\ c=47.8 \end{gathered}`

Therefore, Lisa is approximately 47.8 kilometers from her starting point

ANSWER:

47.8 km