Question

If it had been direct, how many moves would it have taken?*
The wandering robot is the latest innovation in military reconnaissance. Rather than go
directly to its target, which would make it predictable and therefore vulnerable, it makes
random moves in the general direction. The disadvantage is that it takes longer to reach its
target.
A move is either to the north (N), east (E), south (S) or west (W).
One robot reached its target in the 22 moves EENENNWNENESEEEEESSSWN.
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Answer 1

Answer:

Find the sizes of the angle of parallelogram if one angle is 20°less than twice the smallest angle

Answer 2

If it had been direct it would have taken ten moves to reach the target.

Explanation:

• let the stating co- ordinate of the robot be denoted by (x, y)
• the robot can make four moves North, South, East, or West respective to its current position.
• Now for every movement in north and south directions the y co-ordinate increases and decreases by one respectively.
• Now for every movement in east and west directions the x co-ordinate increases and decreases by one respectively.
• Then following the given moves 'EENENNWNENESEEEEESSSWN' we get the target co-ordinates as,                                                                               $start-(0,0)\\target- ((number\ of\ E-number\ of\ W), (number\ of\ N-number\ of\ S))\\target-((10-2),(6-4))\\target-(8,2)$
• now the direct path from $(0,0)\ to\ (8,2)$ has ten moves according to the movements allowed for the robot.