16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answers
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
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