A tourist drives 10 km towards East and turns to the right hand and drives 3 km. Then he drives towards West (turning to his right) 3 km. He then turns to his left and drives 2 km. Finally he turns to his right and travels 7 km. How far is he from his starting point and in which direction would he be?Options10 km, East.9 km, North.8 km, West.5 km, West.
Question
A tourist drives 10 km towards East and turns to the right hand and drives 3 km. Then he drives towards West (turning to his right) 3 km. He then turns to his left and drives 2 km. Finally he turns to his right and travels 7 km. How far is he from his starting point and in which direction would he be?Options10 km, East.9 km, North.8 km, West.5 km, West.
Solution
The tourist's movements can be broken down as follows:
- He starts by driving 10 km east.
- He turns right (which would be south if he was facing east) and drives 3 km.
- He turns right again (which would be west if he was facing south) and drives 3 km. This cancels out 3 km of his initial 10 km drive east, leaving him 7 km east of the starting point.
- He turns left (which would be south if he was facing west) and drives 2 km.
- He turns right (which would be west if he was facing south) and drives 7 km. This cancels out the remaining 7 km east, bringing him back to his longitudinal starting point.
So, in terms of latitude, he is 2 km south of his starting point, and in terms of longitude, he is at his starting point. Therefore, he is 2 km away from his starting point, and he would be in the South direction.
However, none of the options provided match this answer. There might be a mistake in the question or the options provided.
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