Question

Point P is 20m to the north of point Q. Point R is 10m to the west of point P. point S is 15m to the south of point R. Point T is exactly midway between point S and point U in such a matter that point S, T and U form a horizontal straight line of 20m. Point U is to the east of point S. Point V is 15 north to point U. How far and in which direction is point V from point P?

O 15m towards west
O 20m towards north
O 10m towards west
O 10m towards east
O 15m towards east

Answer 1

Point V is 5m to the west and 30m to the north of point P.

Step-by-step explanation:

Point P is 20m north of point Q. Point R is 10m west of point P. Point S is 15m south of point R. Point T is exactly midway between point S and point U, and forms a horizontal straight line of 20m with points S and U. Point U is to the east of point S. Point V is 15m north of point U.

To find the distance and direction from point V to point P, we need to determine the displacement from P to V.

Since V is 15m north of U, and U is to the east of S, we can conclude that V is to the east and north of S. Additionally, since S is 15m south of R, and R is 10m west of P, we can conclude that S is to the west and south of P. Therefore, the displacement from P to V is a combination of the displacements from P to S and from S to V.

By adding the north and west distances, we find that the displacement from P to S is 5m west and 15m north. By adding the east and north distances, we find that the displacement from S to V is 15m east and 15m north.

Therefore, the displacement from P to V is the sum of these two displacements, which is 5m west, 30m north. Thus, point V is 5m to the west and 30m to the north of point P.