Francesca leaves her home and Drive South 150 km. Then she drives West 70 km. At this point, she drives North 30 km. Finally, sh

Question

11 months ago

13

e drives east 20 km. How far is she from her home? Included diagram of her trip.

1 answer:

Sveta_85 [38] · Answer 1 · 2024-06-11T18:29:32+03:00

8 0

To find the distance between her home and her latest position:

According to the question, the diagram is,

Consider the right triangle,

AB=120 km

BC=50 km

To find AC:

Using Pythagoras theorem,

$\begin{gathered} AC^2=AB^2+BC^2_{} \\ =120^2+50^2 \\ =14400+2500 \\ =16900 \\ =130\text{ km} \end{gathered}$

Hence, the distance between the new position and her home is 130 km.