Question

Point A is 6m west of point B, which is 8m south of point F. Point D is 26m east of point C. Point G is 15m west of point H. Point C is 5m north of point A. Point H is 17m north east of point F. Point D is 10m south of point E.
       What is the shortest distance and direction of point G with respect to point B?

Select one:

a.  15m, South

b.  20, North-west

c.  18m, South-west

d.  15m, South​

Answer 1

Answer:

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Step-by-step explanation:

b 20 degree north west is the answer for this will help you

Answer 2

Answer:

The shortest distance and direction of point G with respect to point B is 16m, North.

Step-by-step explanation:

Consider the triangle FGH as shown in the figure.

If we join points F and G, we get a right-angled triangle.

In ΔFGH, GH = 15cm and FH = 17cm

Using Pythagoras theorem, we get

$FH^2 = GH^2 + GF^2$

$GF^2 = FH^2 - GH^2$

$GF^2 = 17^2 - 15^2$

$GF^2 = 289 - 225$

$GF^2 = 64$

$GF = \sqrt{64}$

GF = 8cm

Shortest distance between point G and B is G-F-B.

Therefore, GB = GF + FB

GB = 8 + 8

GB = 16cm

Since point G lies directly above B, its direction is North with respect to point B.

Therefore, the shortest distance between points G and B is 16cm and point G lies to the north of point B.

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