using a ruler, draw a fully labeled vector scale diagram to determine the resultant displacement in the…

Explanation:

Step1: Identify horizontal displacements

We have $\Delta d_{AB}=11.4\ cm$ [E] and $\Delta d_{CD}=27.6\ cm$ [E]. The scale is $1\ cm:4\ m$.

Step2: Calculate horizontal resultant displacement

First, convert each displacement to actual - distance. $\Delta d_{AB - actual}=11.4\times4 = 45.6\ m$ [E] and $\Delta d_{CD - actual}=27.6\times4=110.4\ m$ [E]. The horizontal resultant $\Delta d_{h - actual}=\Delta d_{AB - actual}+\Delta d_{CD - actual}=45.6 + 110.4=156\ m$ [E].

Step3: Identify vertical displacements

We have $\Delta d_{EF}=8.6\ cm$ [S] and $\Delta d_{GH}=34.4\ cm$ [S]. The scale is $1\ cm:4\ m$.

Step4: Calculate vertical resultant displacement

Convert each displacement to actual - distance. $\Delta d_{EF - actual}=8.6\times4 = 34.4\ m$ [S] and $\Delta d_{GH - actual}=34.4\times4 = 137.6\ m$ [S]. The vertical resultant $\Delta d_{v - actual}=\Delta d_{EF - actual}+\Delta d_{GH - actual}=34.4+137.6 = 172\ m$ [S].

Answer:

Horizontal resultant displacement: $156\ m$ [E] Vertical resultant displacement: $172\ m$ [S]