A water tower is 18 km to the North of a village, and a mill is 24 km to the East of the same village. How far and in which direction is the mill from the water tower?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30 km South-East
Place both points around the village; the direction asked is from the tower to the mill, and the distance is the hypotenuse of a right triangle.
Tower: 18 km north of the village
Mill: 24 km east of the village
From the tower, the mill is 18 km further south and 24 km further east, so it is to the South-East
Distance \(=\sqrt{18^{2}+24^{2}}=\sqrt{324+576}=\sqrt{900}=30\) km
The mill is 30 km South-East of the water tower.
