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s2008m [1.1K]
3 years ago
6

Jaxon is traveling from Portland, Oregon to Denver, CO. If he were traveling by car, he would drive 1000 miles east and 575 mile

s south. What distance, to the nearest tenth of a mile, would he travel if he took a direct flight from Portland to Denver?
1153.5 miles

1575 miles

425 miles

818.2 miles
Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

1153.5 miles (first answer choice)

Step-by-step explanation:

'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise').  Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:

d = √(1000² + 575²) = 1153.5 miles (first answer choice)

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