Question 22

J,K,L,M,N,O,P and R are eight huts. Further, L is 2 km east of K, J is 1 km north of K and Q is 2 km south of J. P is 1 km west of Q while M is 3 km east of P and O is 2 km north of P. R is situated right in the middle of K and L while N is just in the middle of Q and M.

Determine the distance between K and P.

In the given question, we have to find the distance between K and P.Β 

Now, it is given that, J is 1 km north of KΒ and Q is 2 km south of J. It means that, Q is 1 km south of K.Β 

It is also given that, P is 1 km west of Q.Β 

So, P, Q and K forms a right angled triangle at Q.Β 

image

So, we can apply the Pythagoras theorem to find the distance between P and K.Β 

$$\left(PK\right)^2=\left(PQ\right)^2+\left(KQ\right)^2$$

$$\left(PK\right)^2=\left(1\right)^2+\left(1\right)^2$$

$$PK=\sqrt{2}\ km=1.414\ km$$

Hence, the distance between P and K is 1.41 km.Β 

Option C.Β 

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