A car drives 215 km east and then 45 km north. What is the magnitude of the car's displacement? Round your answer to the nearest

Question

Anestetic [448]

3 years ago

9

A car drives 215 km east and then 45 km north. What is the magnitude of the car's displacement? Round your answer to the nearest

whole number. km

Mathematics

1 answer:

vesna_86 [32] · Answer 1 · 2022-10-27T22:32:52+03:00

Answer:

220 km

Step-by-step explanation:

Since the direction north is perpendicular to the direction east, the driver has covered the two legs of a right triangle. The hypotenuse is his displacement for the combination of the two segments.

D = √(215² + 45²)

= √(46,225 + 2,025)

= √48,250 = 219.6588... km

Nearest whole number: 220 km