Point A is 10 metres to the east of point B. Point C is 16 metres to the north of point B. Point D is exactly midway between point C and point B in the straight line. Point E is 20 metres to the south of point D. Point C is exactly midway between D and F in the straight line. How far and in which direction is point A from point F?

Answers 2

Answer:

The correct option is E 45 m towards South

According to the question,

Point A is 30 m to the South of point B.

Point C is 20 m to the East of point A.

Point D is 15 m to the South of point C.

Point D is exactly midway between points E and F in such a manner that point E. D and F form a horizontal straight line of 40 m.

Point E is to the West of point D, so it is clear that point F is to the East of point D.

And point E is 20 m to the West of point D

and point F is 20 m to the East of point D.

We have to find out the direction and distance of point E from point B. Joint point A and point E by dotted lines.

Hence, point E is (30 + 15 = 45 m) to the South of point B.

AB= 10m

CB=16m

CD=16/2m

=8m

So,CF=8m

BF=BC+CF

=16+8

=24m

by using Pythagoras theorem:

h²=p²+b²

AF²=BF²+BA²

AF²=24²+10²

AF²=576+100

AF²=676

AF=√676

AF=26m

Length of AF is 26m.