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Point A is 15 m west of point B. Point C is 13 m south of point B and also 5 m east of point E. Point F is 20 m north of point E. What is the distance AF? 
  • a)
    49 m
  • b)
    7√49 m
  • c)
    20 m
  • d)
    √149 m
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Point A is 15 m west of point B. Point C is 13 m south of point B and ...
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Point A is 15 m west of point B. Point C is 13 m south of point B and ...
First, draw a diagram to visualize the given information:

A
|
|
|
B
/ \
/ \
/ \
C E
|
|
|
F

From the given information, we can deduce that point E is 5 m west of point B.

Since point C is 13 m south of point B and also 5 m east of point E, we can determine that point C is 13 m south and 5 m west of point B.

Using Pythagoras' theorem, we can find the distance between points C and A:

AC^2 = AB^2 + BC^2
AC^2 = (15 m)^2 + (13 m)^2
AC^2 = 225 m^2 + 169 m^2
AC^2 = 394 m^2

AC = √394 m ≈ 19.85 m

Now, we can find the distance between points A and F:

AF = AC + CF
AF = 19.85 m + 20 m
AF ≈ 39.85 m

Therefore, the distance AF is approximately 39.85 m.

The correct answer is not provided in the options.
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Point A is 15 m west of point B. Point C is 13 m south of point B and ...
Option D is answer .√149
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