Namia is facing the west. She turns left and walks 15 m. She turns left and walks 25 m. She again turns left and walks 40 m. She finally turns left and walks 40 m to reach home. In which direction is her home with respect to the starting point?
North-West
Let's solve the question step-by-step to determine the direction of Namia's home relative to her starting point.
- Namia starts facing west.
- She turns left, which makes her face south, and walks 15 meters.
- She turns left again, making her face east, and walks 25 meters.
- She turns left yet another time, which turns her to face north, and she walks 40 meters.
- Finally, she turns left once more, facing west again, and walks 40 meters.
To determine the final direction of Namia's home with respect to her starting point, let's analyze her path.
- Starting Point: (0, 0)
- First Move: South 15 meters, new position = (0, -15)
- Second Move: East 25 meters, new position = (25, -15)
- Third Move: North 40 meters, new position = (25, 25)
- Fourth Move: West 40 meters, new position = (-15, 25)
Namia ends up at the coordinates (-15, 25) relative to her starting point, which places her home to the northwest.
The direction from the starting point (0, 0) to the final point (-15, 25) is North-West.
Therefore, the correct answer is: North-West.
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Important Questions from Direction and Distance
- Johny starts from Point A and drives 6 km towards the North. He then takes a right turn, drives 17 km, turns right and drives 13 km. He then takes a right turn and drives 8 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive to reach Point A again? (All turns are 90 degrees turns only unless specified.)
- Town Q is to the east of Town P. Town R is to the south of Town Q. Town S is to the east of Town R. Town T is to the south of Town S. Town U is to the east of Town T. What is the position of Town U with respect to Town Q?
- Binoy starts from Point Y and drives 16 km towards the north. He then takes a right turn and drives 43 km, then turns right and drives 38 km. He then takes a right turn and drives 19 km. He takes a final right turn, drives 22 km and stops at Point Z. How far (shortest distance) and in which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
- Himank starts from Point A and drives 13 km towards West. He then takes a left turn, drives 3 km, turns left and drives 16 km. He then takes a left turn and drives 6 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
- Shyam starts from Point A and drives 12 km towards east. He then takes a right turn,
drives 7 km, turns right and drives 5 km. He then takes a left turn and drives 9 km. He
takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and
towards which direction should he drive in order to reach Point A again? (All turns are
$90^{\circ}$ turns only unless specified.)
