Question

Kiara travels 5 m towards North, then she turns left
and travels 5 m. Again she turns towards left and
travels 15 m. Then she turns towards right and travels
15 m. In which direction and how far is Kiara now
from her original position?
A. 10root5 m, South-West
B. 20root5 m, North-West
C. 25 m, South-East
D. 10root5 m, South-East​

Answer 1

Kiara travels $22.36\ m$ which is equal to $10\sqrt{5}$ and in the south-west direction.

Option A is the correct choice.

Step-by-step explanation:

The situation is drawn and is attached with.

Key points:

• Follow the NSEW direction.Upward north and downward south ,right side east and left side west.
• Whenever it is asking to move left just place yourself on the line and move towards left from that point as of you are walking.

At last join the points and carefully look from the origin to the final point,here it forms a right angled triangle and the the distance is quite similar to that of the hypotenuse.

Then apply Pythagoras formula to measure the hypotenuse length.

$h=\sqrt{p^2+b^2} =\sqrt{20^2+10^2}=10 \sqrt{5}$

Option A that is 10root5 m, South-West is the correct answer.