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:

d =  24.9712 km
A =  19.8649 °

Step-by-step explanation:

a=15 km b=12 km  b1=b/2=12/2=6 2 km8.4853 km b2=b/2=12/2=6 2 km8.4853 km  y=a+b1=15+8.485323.4853 km x=0+b2=0+8.4853=6 2 km8.4853 km  d=x2+y2=8.48532+23.48532=24.9712 km
tan A = x:y  A=π180°arctan(x/y)=π180°arctan(8.4853/23.4853)19.8649 A < 45°



Did you find an error or inaccuracy? Feel free to write us. Thank you!







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.

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: