Point J is 12m east of point K. Point His 5m west of point C. Point Lis 10m east of Point F. Point Fis 16m south of point K. Point Dis 8m north of point L. Point E is 3m east of point D. Point C is 10m north of point E. What is the shortest distance between Hand D (in m)?
Answers
Given: Point J is 12m east of point K. Point His 5m west of point C. Point Lis 10m east of Point F. Point Fis 16m south of point K. Point Dis 8m north of point L. Point E is 3m east of point D. Point C is 10m north of point E
To find: the shortest distance between H and D (in m)
Solution:
We will start the question by drawing a diagram using the instructions given in the question.
Since we need to find the shortest distance between H and D so we will focus on their positions only.
Point His 5m west of point C and Point Dis 8m north of point L.
The distance between D and E is 3 m and between C and E is 10m.
C is to the north of E and then H is 5m away from C.
Therefore, for H to reach D, it must move 10m down southwards and then 2 m towards east and then will reach D.
The shortest distance is 10+2= 12m
Given, Point J is 12m east of point K.
Point H is 5m west of point C.
Point Lis 10m east of Point F.
Point F is 16m south of point K.
Point D is 8m north of point L.
Point E is 3m east of point D.
Point C is 10m north of point E.
We need to find the shortest distance between H and D.
We need to draw the diagram to understand this problem better.
The line segments we have in this diagram are: JK, HC, LF, FK, DL, ED and CE.
By observing the diagram, to find the shortest distance between D and H, we can ignore the linesegments KJ, KF, FL.
Let's concentrate on DE, EC, and HC.
Let's find the shortest distance between H and D.
To travel from H to D we need to travel 10 m downwards and 2m east.
Shortest distance between H and D is
Therefore, the shortest distance between H and D is
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