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A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east. How far is A from his starting point?
- a)11 kms
- b)12 kms
- c)14 kms
- d)13 kms
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A moves 3 kms east from his starting point . He then travels 5 kms nor...
I think.. Question is wrong.. Correct answer is option b. 12kms.... You can do it by pythagoras theorem... X²=(3+8)² + 5² = 121 + 25 =146 X= 12.08 X= 12kms (approx)
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A moves 3 kms east from his starting point . He then travels 5 kms nor...
Solution:
To find the distance between A's starting point and his current position, we need to find the distance between the starting point and the final point.
Let's draw a diagram to understand the situation:
S (starting point)
|
|
|
A (current position)
|
|
|
+---------+
8 km
From the diagram, we can see that A has travelled 3 km east, 5 km north and 8 km east. Therefore, the total distance travelled by A is:
3 km + 5 km + 8 km = 16 km
To find the distance between A's starting point and his current position, we need to find the length of the hypotenuse of a right-angled triangle with sides of 3 km (east) and 5 km (north). Using the Pythagorean theorem, we can find the length of the hypotenuse:
hypotenuse = √(3² + 5²)
= √(9 + 25)
= √34
≈ 5.83 km
Therefore, A is approximately 5.83 km away from his starting point.
Since none of the given options match this value exactly, we can round off to the nearest whole number, which is 6. However, the correct option is D, which is 13 km. This means that there may be an error in the question or answer choices.
To find the distance between A's starting point and his current position, we need to find the distance between the starting point and the final point.
Let's draw a diagram to understand the situation:
S (starting point)
|
|
|
A (current position)
|
|
|
+---------+
8 km
From the diagram, we can see that A has travelled 3 km east, 5 km north and 8 km east. Therefore, the total distance travelled by A is:
3 km + 5 km + 8 km = 16 km
To find the distance between A's starting point and his current position, we need to find the length of the hypotenuse of a right-angled triangle with sides of 3 km (east) and 5 km (north). Using the Pythagorean theorem, we can find the length of the hypotenuse:
hypotenuse = √(3² + 5²)
= √(9 + 25)
= √34
≈ 5.83 km
Therefore, A is approximately 5.83 km away from his starting point.
Since none of the given options match this value exactly, we can round off to the nearest whole number, which is 6. However, the correct option is D, which is 13 km. This means that there may be an error in the question or answer choices.
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