Meg trade Australian dollars for Mexican pesos at an exchange rate of one AU for 13 For Mexican pesos She gave exchanger a total
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Answer:
- C = 21°
- a = 13.3
- c = 5.4
Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
__
The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
<em>In decimal form, a = 114.5; b = 25.5</em>
We will write this as a system of equations, where and
are the two angles.
We will use substitution to solve this system. We know what equals, so we plug that into the second equation.
Combine the like terms.
Add on both sides.
Divide both sides by .
Now just subtract that from .