The diagram shows the distance between Tina’s house, the school and the recreational park. The distance between Tina’s house and school is not shown. Tina walks to school every day. She always return home before going to the recreational park to exercise. Calculate the total distance Tina has walked every day. *
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Answer:
784 m
Step-by-step explanation:
By Pythagoras theorem we can say that distance between her house and school is -
(hypotenuse)² = (base)² + (height)²
(221)² = (140)² + (h)²
48,841 - 19,600 = (h)²
(h)² = 29,241
height = √29,241
height = 171
∴ Distance between Tina's house and school is 171 m.
Distance walked by Tina everyday is -
2 × distance between school and house
= 2 × 171
= 342 m
2 × Distance between Recreational park and house = 2 × 221
= 442 m
Total distance traveled by Tina is = 342 + 442
= 784 m
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