NW NE NW ENE W WSW ESE SW SE SSW SSE S E Dre is facing West. He turns 45 degrees left. Then, he turns 90 degrees right. He reverses direction. Next, Dre turns 45 degrees left then reverses direction. Finally, he turns 270 degrees to the right. In which direction is Dre now facing? Previous OWONOS SE None of these. Show Calculator Next
The Correct Answer and Explanation is:
The correct answer is S.
To determine Dre’s final direction, we must follow each instruction sequentially, tracking his orientation at every step. The compass rose shows that the angle between each cardinal point (N, S, E, W) and its adjacent intercardinal point (NE, SE, SW, NW) is 45 degrees.
- Start: Dre is facing West (W).
- Turn 45 degrees left: A turn to the left is counter-clockwise. From West, a 45-degree counter-clockwise turn leads to South-West (SW). Dre is now facing SW.
- Turn 90 degrees right: A turn to the right is clockwise. From SW, a 90-degree clockwise turn moves him past West (a 45-degree turn) and onward to North-West (NW) (another 45-degree turn). Dre is now facing NW.
- Reverse direction: This is a 180-degree turn. The opposite direction of North-West is South-East (SE). Dre is now facing SE.
- Turn 45 degrees left: From SE, a 45-degree counter-clockwise turn leads to East (E). Dre is now facing E.
- Reverse direction: Again, he makes a 180-degree turn. The opposite direction of East is West (W). Dre is now facing W.
- Finally, turn 270 degrees to the right: A turn of 270 degrees to the right (clockwise) is equivalent to a 90-degree turn to the left (counter-clockwise). Starting from West, a 90-degree turn to the left places him facing South (S).
Alternatively, we can trace the full 270-degree clockwise turn from West. The first 90-degree turn takes him to North (N). The second 90-degree turn takes him to East (E). The final 90-degree turn (totaling 270 degrees) takes him to South (S).
After all the movements, Dre’s final direction is South.
