Direction Sense Test
Geometry
Level
1
From his house, Tushar went 15 km to the north. Then he turned west and covered 10 km. Then, he turned South and covered 5 km. Finally, turning to East, he covered 10 km. How far and in which direction is he from his house ?
10 km east
10 km south
10 km north
10 km west
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Let say we start from coordinate ( 0 , 0 )
n o r t h : positive y-axis
s o u t h : negative y-axis
e a s t : positive x-axis
w e s t : negative x-axis
From information given we get :
y = 0 + 1 5 − 5 = 1 0
x = 0 − 1 0 + 1 0 = 0
So the finish coordinate is ( 0 , 1 0 ) which can be read as positive 10 in y-axis, which also means 1 0 k m north