Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the unit deviated from the north direction.
Correct answer:
Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.
You need to know the following knowledge to solve this word math problem:
- geometry
- analytic geometry
- vector
- algebra
- expression of a variable from the formula
- planimetrics
- Pythagorean theorem
- right triangle
- triangle
- goniometry and trigonometry
- tangent
- arctangent
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Altitude angles
Cities A, B, and C lie in one elevation plane. C is 50 km east of B, and B is north of A. C is deviated by 50° from A. The plane flies around places A, B, and C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Fi - Perpendicular 17423
According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the ta - Shyambazar
Shyambazar is 3 km north of college street, and Park Street is 7 km south of college street. What is the distance of Shyambazar from Park Street, and in which direction? - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start?
- Two cities
Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle started at an average speed of 120 km/h. How long will they meet, and at what distance from point A will i - Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and then passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, while the bus goes at a steady speed of 54 - Pedestrian
Dana started at 10:00 from point A to point B. These points are 12 km away. Determine how fast Daniel went when place B arrived at 11:54. Speed express in km/h.
