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Point A is 10 m north of point B, which is 6 m west of point C. Point E is 18 m west of point D, which is 5 m north of point C. What is the shortest distance between point A and point E?
- a)13√2 m
- b)13 m
- c)14 m
- d)12√2 m
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Point A is 10 m north of point B, which is 6 m west of point C. Point...
We get the below figure from the given statements in the question,
Shortest distance between point P and point T
= √[(12)2 + (5)2]m
= √(144 + 25)m
= √169 m
= 13 m
Hence, the shortest distance between point A and point E is 13 m.
Most Upvoted Answer
Point A is 10 m north of point B, which is 6 m west of point C. Point...
The given information can be summarized as follows:
- Point A is 10 m north of point B.
- Point B is 6 m west of point C.
- Point E is 18 m west of point D.
- Point D is 5 m north of point C.
We need to find the shortest distance between point A and point E.
Finding the Coordinates of Points A, B, C, D, and E:
------------------------------------------------------
Let's assume point C as the origin (0,0) on a coordinate plane.
- Point B is 6 m west of point C, so its coordinates will be (-6,0).
- Point A is 10 m north of point B, so its coordinates will be (-6,10).
Now let's find the coordinates of points D and E.
- Point D is 5 m north of point C, so its coordinates will be (0,5).
- Point E is 18 m west of point D, so its coordinates will be (-18,5).
Finding the Distance Between Points A and E:
---------------------------------------------
We can use the distance formula to find the shortest distance between points A and E.
The distance formula is given by: d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of points A (-6,10) and E (-18,5), we can calculate the distance as follows:
d = √((-18 - (-6))^2 + (5 - 10)^2)
= √((-12)^2 + (-5)^2)
= √(144 + 25)
= √169
= 13
Therefore, the shortest distance between point A and point E is 13 meters.
Conclusion:
-----------
The correct answer is option C) 13 m. The shortest distance between point A and point E is 13 meters.
- Point A is 10 m north of point B.
- Point B is 6 m west of point C.
- Point E is 18 m west of point D.
- Point D is 5 m north of point C.
We need to find the shortest distance between point A and point E.
Finding the Coordinates of Points A, B, C, D, and E:
------------------------------------------------------
Let's assume point C as the origin (0,0) on a coordinate plane.
- Point B is 6 m west of point C, so its coordinates will be (-6,0).
- Point A is 10 m north of point B, so its coordinates will be (-6,10).
Now let's find the coordinates of points D and E.
- Point D is 5 m north of point C, so its coordinates will be (0,5).
- Point E is 18 m west of point D, so its coordinates will be (-18,5).
Finding the Distance Between Points A and E:
---------------------------------------------
We can use the distance formula to find the shortest distance between points A and E.
The distance formula is given by: d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of points A (-6,10) and E (-18,5), we can calculate the distance as follows:
d = √((-18 - (-6))^2 + (5 - 10)^2)
= √((-12)^2 + (-5)^2)
= √(144 + 25)
= √169
= 13
Therefore, the shortest distance between point A and point E is 13 meters.
Conclusion:
-----------
The correct answer is option C) 13 m. The shortest distance between point A and point E is 13 meters.
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Point A is 10 m north of point B, which is 6 m west of point C. Point E is 18 m west of point D, which is 5 m north of point C. What is the shortest distance between point A and point E?a)13√2 mb)13 mc)14 md)12√2 mCorrect answer is option 'C'. Can you explain this answer?
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