Directions: Read the following information carefully and answer the questions given below:
Anita starts cycling from point A in the west direction. After travelling 4m, she reaches point B. From point B, she takes a left turn and rides 3m to reach point C. From point C, she turns right and travels 6m to reach point D. From point D, she takes a right turn and travels 9m to reach point E.
Benny starts cycling from point P in the north direction. After travelling 6m, he reaches point Q. From point Q, he takes a left turn and rides 5m to reach point R. From point R, he takes a left turn and rides 10m to reach point S. Now, from point S, he takes a right turn and travels 3m to reach point E.
What is the shortest distance between point P and point R?
Correct Answer :
m
Solution :
Correct Answer: m
To find the shortest distance between point P and point R, we analyze Benny's movement steps starting from point P:
1. Benny starts cycling from point P towards the North direction and covers 6m to reach point Q.
Therefore, the distance .
2. From point Q, he turns left (facing West) and travels 5m to reach point R.
Therefore, the distance .
3. Points P, Q, and R form a right-angled triangle PQR where the right angle is at point Q (since a turn from North to West forms a 90° angle).
To calculate the shortest distance between point P and point R (the hypotenuse PR), we apply the Pythagorean theorem:
Thus, the shortest distance between point P and point R is m.
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