Question

Itzel travels south 4 miles and then goes east 2 miles and then north 10 miles. What is her displacement? Round your answer to two significant figures. a 7.1 miles NE b 5.1 miles SW c 6.3 miles SW d 5.5 miles SW e 6.3 miles NE f 0 miles g 7.1 miles SW h 5.5 miles NE i 5.1 miles NE

Answer 1

The displacement of Itzel according to the question is 6.3 miles SW

Displacement is defined as the distance moved by a body in a specified direction

Find the diagram attached

From the diagram given, we can see that AB is the displacement

To get the length AB, we will have to use the Pythagoras theorem:

$AB^2=2^2+ 6^2\\AB^2 ^2=4+36\\AB^2=40\\AB=\sqrt{40}\\AB= 6.3 miles$

From the diagram, we can also se that the direction of the displacement in the South West direction.

Hence the displacement of Itzel according to the question is 6.3 miles SW

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