When you compare two functions f(x) and g(x), you're looking for a special input such that
Since you have the table with some possible candidates for , you simply have to choose the row that gives values for f(x) and g(x) that are as close as possible (the exact solution would give the same value for f(x) and g(x), so the approximate solution will give values for f(x) and g(x) that are close to each other).
In your table, the values for f(x) and g(x) are closer when x=-0.75
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.