Question

lisa drives her car 46 km south and then 13 km east. how far is she from her starting point? 33 km 44.1 km 47.8 km 59 km

Explanation:

Step1: Identify right triangle sides

The south and east paths form legs of a right triangle: $a=46$ km, $b=13$ km.

Step2: Apply Pythagorean theorem

The straight-line distance $c$ is $\sqrt{a^2 + b^2}$.
$$c = \sqrt{46^2 + 13^2}$$

Step3: Calculate squared terms

$$46^2 = 2116, \quad 13^2 = 169$$

Step4: Sum and take square root

$$c = \sqrt{2116 + 169} = \sqrt{2285} \approx 47.8$$

Answer:

47.8 km