Question

Shabnam travels 9 km towards west and then 6km towards her left. Then, sheturns towards east and travels 2 km. Finally, she travels 5 km towards north. How far is she from the starting point?

a. 5 √3 km

b. 5 km

c. 5 √2 km

d. none

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Answer 1

option c. 5√2 km is the correct opinion

Answer 2

Answer:

c. 5 √2 km

Step-by-step explanation:

TO FIND: The distance far from the starting point by her.

GIVEN:

       

Shabnam travels towards west    $9 km$

Then towards her left   $6km$

Then, she turns towards east and travels  $2 km$

she travels  towards north $5 km$

By the figure we conclude how far she is from the starting point.

From figure

        $AB=9KM\\BC=6KM\\CD=2KM\\DE=5KM\\EF=1KM\\AF=7KM\\AE=?$

From pythagoras theorem

Triangle AEF

  $AE^{2} =EF^{2}+AF^{2} \\ AE^{2} =(1)^{2} +(7)^{2} \\AE^{2} =50\\AE=\sqrt{50} \\AE=5\sqrt{2} KM$

The distance far from the starting point by her =$5\sqrt{2} KM$

The project code is  #SPJ2