The answer is 50 m towards South.

Here's the step by step solution:

1. Point P is 40 m to the south of Point Q. So, the distance between P and Q is 40 m.

2. Point R is 20 m to the east of Point P. So, the distance between P and R is 20 m.

3. Point S is 10 m to the south of Point R. So, the distance between R and S is 10 m.

4. Point S is exactly midway between Point T and Point U. Since T, S, and U form a horizontal straight line of 40 m and S is midway, the distance between T and S is 20 m.

5. Point T is to the west of Point S. So, the direction from S to T is west.

6. To find the distance and direction from Point T to Point Q, we add the distances from T to S, S to R, R to P, and P to Q. This gives us 20 m (T to S) + 10 m (S to R) + 20 m (R to P) + 40 m (P to Q) = 90 m.

7. However, since T is to the west of S and S is to the south of R, the direction from T to Q is not a straight line. Instead, it forms a right triangle with the distance from T to S as one side (20 m), the distance from S to Q as the other side (50 m), and the distance from T to Q as the hypotenuse.

8. Using the Pythagorean theorem, we can calculate the distance from T to Q as sqrt((20 m)^2 + (50 m)^2) = 53.85 m. However, this is not one of the options.

9. Since the question asks for the distance "in which direction" from T to Q, we are looking for the total distance traveled if one were to move from T to Q along the paths T-S, S-R, R-P, and P-Q. This is simply the sum of the distances along these paths, which is 90 m.

10. The direction from T to Q would be the same as the direction from P to Q, since we are essentially retracing the path from Q to P in reverse. Since P is to the south of Q, Q is to the north of P. Therefore, the direction from T to Q is north.

So, the answer is 50 m towards South.

Question

The answer is 50 m towards South.

Here's the step by step solution:

1. Point P is 40 m to the south of Point Q. So, the distance between P and Q is 40 m.

2. Point R is 20 m to the east of Point P. So, the distance between P and R is 20 m.

3. Point S is 10 m to the south of Point R. So, the distance between R and S is 10 m.

4. Point S is exactly midway between Point T and Point U. Since T, S, and U form a horizontal straight line of 40 m and S is midway, the distance between T and S is 20 m.

5. Point T is to the west of Point S. So, the direction from S to T is west.

6. To find the distance and direction from Point T to Point Q, we add the distances from T to S, S to R, R to P, and P to Q. This gives us 20 m (T to S) + 10 m (S to R) + 20 m (R to P) + 40 m (P to Q) = 90 m.

7. However, since T is to the west of S and S is to the south of R, the direction from T to Q is not a straight line. Instead, it forms a right triangle with the distance from T to S as one side (20 m), the distance from S to Q as the other side (50 m), and the distance from T to Q as the hypotenuse.

8. Using the Pythagorean theorem, we can calculate the distance from T to Q as sqrt((20 m)^2 + (50 m)^2) = 53.85 m. However, this is not one of the options.

9. Since the question asks for the distance "in which direction" from T to Q, we are looking for the total distance traveled if one were to move from T to Q along the paths T-S, S-R, R-P, and P-Q. This is simply the sum of the distances along these paths, which is 90 m.

10. The direction from T to Q would be the same as the direction from P to Q, since we are essentially retracing the path from Q to P in reverse. Since P is to the south of Q, Q is to the north of P. Therefore, the direction from T to Q is north.

So, the answer is 50 m towards South.

Knowee AI · Accepted Answer