Question

A lady runs 18km towards east and then 24km towards north. how far and in which direction is the lady from the starting point?

a. 42km north-east

b. 42km east

c. 6km east

d. 30km north-east correct option is: d

Answer 1

Answer:

The lady is at 30km distance in north-east direction with respect to the starting point.

Step-by-step explanation:

Given a lady walks 18km towards east starting from  point.

Then turns towards north direction and walks 24km.

The lady is going straight along the north direction.

Hence, with reference to the starting point she is nearly at the corner between North and East direction which is the north-east direction.

As shown in the figure, the directions make a right angled triangle.

Applying the Pythagorean theorem, $c^2=a^2+b^2$,

$c^2=(18)^2+(24)^2=324+576=900$

$\implies c=\sqrt{900} =30km$

Therefore, the lady is at 30km distance in north-east direction with respect to the starting point.

So, the correct answer is option d.