A plane flew 50 km on a bearing 63°20' and the flew on a bearing 153°20' for 140km. Find the distance between the starting point and the ending point.

Correct answer:

s =  148.6607 km

Step-by-step explanation:

A=636020=63+6020=6063 60+20=603800=319063.3333  B=1536020=153+6020=60153 60+20=609200=3460153.3333  a=50 km b=140 km  x1=a cosA=a cos63.333333333333° =50 cos63.333333333333° =50 0.448799=22.43996 km y1=a sinA=a sin63.333333333333° =50 sin63.333333333333° =50 0.893633=44.68163 km x2=b cosB=b cos153.33333333333° =140 cos153.33333333333° =140 (0.893633)=125.10857=(229422π/5761) km y2=b sinB=b sin153.33333333333° =140 sin153.33333333333° =140 0.448799=62.83189 km x=x1+x2=22.44+(125.1086)102.6686 km y=y1+y2=44.6816+62.8319107.5135 km s=x2+y2=(102.6686)2+107.51352=10 221=148.6607 km

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

Tips for related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Try our complex numbers calculator.
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions: