Five landmarks A, B, C, D and E on a map are shown in the square grid below. Neha is at landmark B. She faces east and turns $135^\circ$ anti-clockwise. Which landmark is Neha facing now?

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Worked solution

5

1. Determine the number of 45-degree sectors to turn

Number of $45^\circ$ sectors = $135^\circ \div 45^\circ = 3$ sectors.

2. Determine the final direction after turning

Starting facing East. Turning anti-clockwise by 3 sectors ( $45^\circ$ each):
1 sector anti-clockwise from East is North-East.
2 sectors anti-clockwise from East is North.
3 sectors anti-clockwise from East is North-West.

3. Identify the landmark in the final direction

From landmark B, the North-West direction corresponds to moving left (West) and up (North) equally. Landmark A is 2 units West and 2 units North of B, which is exactly North-West.

Answer

A (option 1)

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Five landmarks A, B, C, D and E on a map are shown in the square grid below. Neha is at landmark B. She faces east and turns 135∘135^\circ135∘ anti-clockwise. Which landmark is Neha facing now?

Worked solution

5

More questions on this topic

Five landmarks A, B, C, D and E on a map are shown in the square grid below. Neha is at landmark B. She faces east and turns $135^\circ$ anti-clockwise. Which landmark is Neha facing now?