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On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.
- a)3
- b)6
- c)4
- d)5
Correct answer is option 'D'. Can you explain this answer?
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On a planar field, you traveled 3 units East from point O. Next you t...
To solve this problem, let's break down the given information step by step:
Step 1: Traveling 3 units East from point O
- Starting from point O, you move 3 units in the East direction.
- This means you are now 3 units to the right of point O.
- Let's call this new position point A.
Step 2: Traveling 4 units South to arrive at point P
- From point A, you move 4 units in the South direction.
- This means you are now 4 units below point A.
- Let's call this new position point P.
Step 3: Traveling from P in the North-East direction to arrive at a point 6 units East of point O
- From point P, you move in the North-East direction.
- This means you are moving both North and East simultaneously.
- You reach a point that is 6 units East of point O.
- Let's call this new position point B.
Step 4: Traveling in the North-West direction to arrive at point Q, which is 8 units North of point P
- From point B, you move in the North-West direction.
- This means you are moving both North and West simultaneously.
- You reach a point that is 8 units North of point P.
- Let's call this new position point Q.
Now, we need to find the distance between point Q and point O.
Step 5: Finding the distance between point Q and point O
- To find the distance, we can use the Pythagorean theorem.
- The distance between two points in a plane is given by the formula: distance = √((x2 - x1)^2 + (y2 - y1)^2)
- Here, (x1, y1) represents the coordinates of point O, and (x2, y2) represents the coordinates of point Q.
Coordinates of point O: (0, 0)
Coordinates of point Q: (6, 8)
Using the formula, we can calculate the distance:
distance = √((6 - 0)^2 + (8 - 0)^2)
= √(36 + 64)
= √100
= 10
Therefore, the distance between point Q and point O is 10 units.
Since none of the given options match with the calculated distance, the correct answer is not provided.
Step 1: Traveling 3 units East from point O
- Starting from point O, you move 3 units in the East direction.
- This means you are now 3 units to the right of point O.
- Let's call this new position point A.
Step 2: Traveling 4 units South to arrive at point P
- From point A, you move 4 units in the South direction.
- This means you are now 4 units below point A.
- Let's call this new position point P.
Step 3: Traveling from P in the North-East direction to arrive at a point 6 units East of point O
- From point P, you move in the North-East direction.
- This means you are moving both North and East simultaneously.
- You reach a point that is 6 units East of point O.
- Let's call this new position point B.
Step 4: Traveling in the North-West direction to arrive at point Q, which is 8 units North of point P
- From point B, you move in the North-West direction.
- This means you are moving both North and West simultaneously.
- You reach a point that is 8 units North of point P.
- Let's call this new position point Q.
Now, we need to find the distance between point Q and point O.
Step 5: Finding the distance between point Q and point O
- To find the distance, we can use the Pythagorean theorem.
- The distance between two points in a plane is given by the formula: distance = √((x2 - x1)^2 + (y2 - y1)^2)
- Here, (x1, y1) represents the coordinates of point O, and (x2, y2) represents the coordinates of point Q.
Coordinates of point O: (0, 0)
Coordinates of point Q: (6, 8)
Using the formula, we can calculate the distance:
distance = √((6 - 0)^2 + (8 - 0)^2)
= √(36 + 64)
= √100
= 10
Therefore, the distance between point Q and point O is 10 units.
Since none of the given options match with the calculated distance, the correct answer is not provided.
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Community Answer
On a planar field, you traveled 3 units East from point O. Next you t...
From right angled triangle ORQ,
OQ2 = OR2 + RQ2
= 32 + 42
= 9 + 16 = 25
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On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer?
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On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer?.
On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.a)3b)6c)4d)5Correct answer is option 'D'. Can you explain this answer?.
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