A person starts from his house and travels 8m towards west , then travelled 4 m towards left and then travels 8m towards west and 3m towards south. Finally he turns right and travels 5m. What is the horizontal distance between initial and final positions ?
Answers
Concept
We will consider in the person frame of reference i.e. we will take east, west, north and south according to the person. For reference let the west is in the left of the plane of the page and south is in the bottom of the plane of the page.
Given
The distance travelled in west direction = 8m, 5m and 8m
The distance travelled in south direction = 4m and 3m
Note that the left and right direction are taken according to the person.
Find
We have to calculate the net distance travelled in the horizontal direction.
Solution
Since the west is in the horizontal of the plane of the page and south is in the vertical direction of the plane of the page. Therefore the distance travelled in the horizontal direction is,
Distance = 8m + 5m + 8m
Distance = 21m
Hence the distance travelled in the horizontal direction is 21m.
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