From the question, we can deduce the following:
• The bike moves 15 km south
,
• Then moves 3 km east.
Let's determine the displacement.
The displacement refers to change in the initial position of an object.
To find the displacement, apply Pythagorean Theorem:
[tex]d=\sqrt[]{15^2+3^2}[/tex]
SOlving further:
[tex]\begin{gathered} d=\sqrt[]{225+9} \\ \\ d=\sqrt[]{234} \\ \\ d=15.3\operatorname{km} \end{gathered}[/tex]
Therefore, the displacement is 15.3 km south east
ANSWER:
15.3 km
