Question

1. Lisa drives her car 46 km south and then 13 km east.

How far is she from her starting point?
Show work

Answer 1

To find the distance Lisa is from her starting point, we can use the Pythagorean theorem.

Step-by-step explanation:

To find the distance Lisa is from her starting point, we can use the Pythagorean theorem. The distance she moves south forms the base of a right triangle, and the distance she moves east forms the height. The hypotenuse is the straight line distance from her starting point to her current position.

Using the Pythagorean theorem, the distance can be calculated as:

c = sqrt((a^2) + (b^2))

where c is the distance, a is the distance traveled south (46 km) and b is the distance traveled east (13 km).

Substituting the values, we get:

c = sqrt((46^2) + (13^2))

c = sqrt(2116 + 169)

c = sqrt(2285)

c ≈ 47.83 km

Therefore, Lisa is approximately 47.83 km from her starting point.