SOLUTION: The scale is 1/4 inch = 1 mile (or 4 miles to the inch). Graph the following two Vectors and find Resultant " R," Angle Alpha, and Angle Theta. Round to a whole mile and degree (co

Algebra ->  Angles -> SOLUTION: The scale is 1/4 inch = 1 mile (or 4 miles to the inch). Graph the following two Vectors and find Resultant " R," Angle Alpha, and Angle Theta. Round to a whole mile and degree (co      Log On


   

Question 1022055: The scale is 1/4 inch = 1 mile (or 4 miles to the inch). Graph the following two Vectors and find Resultant " R," Angle Alpha, and Angle Theta. Round to a whole mile and degree (correct if Resultant is + or - 1 mile & the degree is off by (+ or - ) two degrees.
Vector A: 16 miles at 30 degrees North of East.
Vector B: 12 miles at 20 degrees West of South.
Resultant "R" is
Angle Alpha is
Angle Theta is

Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Can you send a sketch via the TY note?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Measure all angles from East.
A=(16cos%2830%29,16sin%2830%29)
B=(12cos%28250%29,12sin%28250%29)
So then,
R=(16cos%2830%29%2B12cos%28250%29,16sin%2830%29%2B12sin%28250%29)
R=(10.32923-5.47232,6-15.0351)
R=(4.919983,-9.03508)
abs%28R%29=10.29
theta=tan%5E%28-1%29%28-9.03508%2F4.919983%29%29
theta=298.6
61.4 degrees South of East
.