Question

Point N is 7 m to the west of point Y, which is 8 m to the
south of point-S. Point N is 15 m to the north of point W
and 10 m to the west of point C. Point A is 12 m to the
north of Point K which is 20 m to the east of point W. A is
to the south of T which forms a horizontal line with Y.
26. N is at what distance and in which direction with
respect to K?
(1) 24 m, North-west (2) 25 m, North-west
(3) 25 m, North-east (4) 24 m, East
(5) 25m, North​

Answer 1

Answer:

(2) 25m North-West.

Step-by-step explanation:

Answer 2

N is 25m north- west of K.

Given:

Point N is 7 m to the west of point Y, which is 8 m to the

south of point-S. Point N is 15 m to the north of point W

and 10 m to the west of point C. Point A is 12 m to the

north of Point K which is 20 m to the east of point W. A is

to the south of T which forms a horizontal line with Y.

To find:

N is at what distance and in which direction with

respect to K

Solution:

N, K and W forms a triangle.

Distance between N and W is 15 m

Distance between K and W is 20 m

By applying Pythagoras,

(NW)² + (KW)² = (NK)2

(15)² + (20) ² = (NK)²

225 + 400 = (NK)²

625 = (NK)2

√625 = NK

NK = 25m

So, N is 25m north -west of K.

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