17.Aravind goes for a picnic from his school to a park in his town. The plan of the town is given below. If his house is situated at (100, 450), the school at (-400,150) and park entrance at (300, -250) and the coordinates are in metres, assuming the distances are covered in straight lines, answer the following questions.
Answers
Given : Arvind goes from School to Park
House ( 100 , 450)
School ( - 400 , 150)
Park entrance (300 , -250)
To Find : Distance Arvind cover from home to school
Solution:
Distance Arvind cover from home to school
House ( 100 , 450) School ( - 400 , 150)
Distance covered = √(-400 - 100)² + (150 - (450))²
= √500² + 600²
= 100√25 +36
= 100√61 m
Distance from School to Park
School ( - 400 , 150) Park (300 , -250)
Distance covered = √(-400 - 300)² + (150 - (-250))²
= √700² + 400²
= 100√49 + 16
= 100√65 m
Distance from home to park
House ( 100 , 450) Park (300 , -250)
Distance covered = √(100 - 300)² + (450 - (-250))²
= √(-200)² + 700²
= 100√4 + 49
= 100√53 m
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