If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude

Question

3 years ago

13

of his total displacement, in kilometers? Find the solution by drawing a diagram. km

1 answer:

Gnom [1K] · Answer 1 · 2022-09-04T04:10:47+03:00

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75