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masha68 [24]
2 years ago
13

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

of his total displacement, in kilometers? Find the solution by drawing a diagram. km
​
Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

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

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