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
1 answer:
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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