Answer:
no solutions
Step-by-step explanation:
10x+2y=42
5x+y=20
Multiply the second equation by -2 to use elimination
-2(5x+y)=20*-2
-10x -2y = -40
Add this to the first equation
10x+2y=42
-10x -2y = -40
--------------------------
0 = 2
This is never true. This means there are no solutions
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ 
= 
Thus,
<CAB =
-
= 
<CBA =
-
= 
Sine rule states;
=
= 
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
b = 
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
a = 
= 124.8073
Sarge is about 125 feet away from the fire.
31.4
Hope that helps you!