Question

Directions (13-14):P is 9 m to the south of
K. K is 5 m to the east of H. H is 4 m to the
north of B. L is 3 m west of B. D is 7 m
south of L. G is 8 m east of D.
If point Z is 5 m to the west of point P,
then what is the distance between Band
Z?
8m​

Answer 1

Answer:

P&Q (16)- P is 4m in west of Q ... What is the direction of point J with respect to point M? ... (b) 7m (c) 5m (d) 9m (e) None of these. Q5. If point Y

Answer 2

Given the directions of different points, find the distance between the given two points.

Explanation:

• Let the co- ordinates of each be considered to that of in XY- plane with point P at the origin $P(0,0)$.
• Then for each movement in the west and east direction the x co- ordinate decreases and increases by one respectively.
• Then for each movement in the south and north direction the y co- ordinate decreases and increases by one respectively.
• hence we have $P(0,0)$ now it's said that:
• P is $9\ m$ to the south of K -> $K(9,0)$
• K is $5\ m$ to the east of H-> $H(-5, 9)$
• H is $4\ m$ to the north of B -> $B(-5,5)$
• L is $3\ m$ west of B ->$L(-8, 5)$
• D is $7\ m$ south of L-> $D(-8, -2)$
• G is $8\ m$ east of D->$G(0,-2)$
• Z is $5\ m$ to the west of point P -> $Z(-5,0)$
• now the distance between $B(-5,5)$ and $Z(-5,0)$  is ,                                      $d=\sqrt{(-5-(-5))^2+(5-0)^2} \\d=5\ m$ ---->ANSWER