Study the following information carefully and answer the questions gi...
Given information:
- Point M is 12m to the west of point N.
- Point N is 18m to the north of point O.
- Point Q is 24m to the north of point P.
- Point P is 10m to the east of point O.
- Point R is 5m to the west of point Q.
- Point T is 15m to the east of point S.
- Point S is 12m to the south of point R.
To find:
The shortest distance between Point R and Point U.
Analysis:
1. From the given information, we can determine the positions of all the points relative to each other.
2. We need to find the distance between Point R and Point U, so we need to determine the positions of Point U.
Solution:
1. Determine the position of Point U:
- Point U is north of Point P and east of Point S.
- Point P is east of Point O, so Point U will also be east of Point O.
- Point S is south of Point R, so Point U will also be south of Point R.
- Combining these two directions, Point U will be east and south of Point O.
2. Determine the position of Point O:
- Point N is 18m to the north of Point O.
- Point P is 10m to the east of Point O.
- Combining these two directions, Point O will be northeast of Point N.
3. Determine the position of Point U (continued):
- Point U is east and south of Point O.
- Point O is northeast of Point N, so Point U will also be southeast of Point N.
4. Determine the position of Point N:
- Point M is 12m to the west of Point N.
- Combining this information, Point N will be northwest of Point M.
5. Determine the position of Point U (continued):
- Point U is southeast of Point N.
- Point N is northwest of Point M, so Point U will also be south of Point M.
6. Determine the position of Point M:
- Point M is 12m to the west of Point N.
- Combining this information, Point M will be west of Point N.
7. Determine the shortest distance between Point R and Point U:
- Point R is 5m to the west of Point Q.
- Point Q is 24m to the north of Point P.
- Point P is 10m to the east of Point O.
- Point O is northeast of Point N.
- Point N is northwest of Point M.
- Point U is southeast of Point N.
- Point M is west of Point N.
From this information, we can determine the following shortest distance between Point R and Point U:
- From Point R, go north to reach Point Q (24m).
- From Point Q, go north to reach Point P (24m).
- From Point P, go east to reach Point O (10m).
- From Point O, go northeast to reach Point N (18m).
- From Point N, go southeast to reach Point U (18m).
Therefore, the shortest distance between Point R and Point U is 24m + 24m + 10m + 18m + 18m = 94m.
Answer:
The shortest
Study the following information carefully and answer the questions gi...