Respuesta :
Answer:
The distance traveled to return directly to the starting point = 34 miles.
Step-by-step explanation:
Given:
Distance covered in north = 16 miles
Distance covered in east = 30 miles
We have to find the displacement (the shortest distance).
Or
Distance traveled to return directly back to the starting point.
Let the origin be O [tex](0,0)[/tex] and the distance covered in north be ON and distance covered from right to the east is NE.
Move rightward from N point to the right that is towards east direction.
N is a northern point and E is the eastern point.
ON = [tex]16[/tex] miles
NE = [tex]30[/tex] miles
We can imagine that it forms a right angled triangle making 90 (deg) at N by joining E with O [tex](0,0)[/tex],where OE is the
hypotenuse.
Applying Pythagoras formula.
Where,
Hypotenuse = [tex]\sqrt{ON^2+NE^2}[/tex]
The distance traveled in returning back to the starting point is equivalent to the measure of the hypotenuse.
So,
Hypotenuse = [tex]\sqrt{16^2+30^2}[/tex]
= [tex]\sqrt{256+900}[/tex]
= [tex]\sqrt{1156}[/tex]
= [tex]34[/tex] miles
So the distance traveled to return directly to the starting point = 34 miles.
