3. A girl walks 600m east from her home. She then walks 800m north and takes a turn to 600m east. From there she decided to turn back and walks back the 600m. How much meters should she walk to get home by taking the shortest path and in which direction should she walk?
Answers
Answer:
1000m in the South-West direction
Step-by-step explanation:
finally there will be a right angled triangle with 600m and 800m as its 2 sides. we need to find the hypotenuse
the distance she needs to walk
= √(600² + 800²)
= √(360000 + 640000)
= √1000000
= 1000m
The girl needs to walk 1000m in the South-West direction
Given : A girl walks 600m east from her home.
She then walks 800m north and takes a turn to 600m east.
From there she decided to turn back and walks back the 600m.
To Find : How much meters should she walk to get home by taking the shortest path and in which direction should she walk?
Solution:
North
West East
South
East = 600 m
North = 800 m
Then East = 600 m
Then East = -600 m ( walks back the 600m)
Total East = 600 + 600 - 600 = 600 m
Total North = 800 m
From start point she is North East Direction
so from that point her home will be South West Direction
Distance to be covered = √600² + 800² = 1000 m
She should walk 1000 m in South west direction
To be precise about 37° West of South
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