aakriti is standing on point A facing west. she walks straight for 15 meters and then takes a right turn and walks 8meters to reach point B. what is the smallest distance between the two points and in which direction of point A does point B lie?
Answers
Answer:
The smallest distance is 17 metres in the northwest direction.
Explanation:
Direction is defined because of the path that something takes, the trail that must be taken to reach a specific place, the way during which something is starting to develop or the way you are facing. An example of direction is once you go right instead of left. Physics. Direction is employed to determine where things are in relation to other things. Sometimes direction is vague, like once we talk about things being in that general direction. For geographic purposes, the direction is more specific. It can describe position like within the sentence Susie sits to the left of Adam.
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The smallest distance between the two points is 17m and point B lies north-west of point A.
- We start with Aakriti standing at point A and facing west i.e. left side.
- She walks 15m towards west.
- Then she turns right. Now she faces north. Let this point be X.
- She walks 8m more towards north.
- Now she is at point B.
- So, points A, X and B form the vertices of a triangle.
- We can see that ΔAXB is a right angles triangle, with base AX and height XB.
- AX= 15m, XB= 8m.
- The smallest distance between A and B will be equal tot he length of the hypotenuse AB.
- Using Pythagoras theorem,
AB²= AX² + XB² = 15² + 8² = 225 + 64= 289
or, AB= 17m
Therefore, smallest distance between the two points is 17m and point B lies north-west of point A.
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