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Given angle C = 47°, a = 8, b = 5. Solve for angle A.

a) 26°
b) 43°
c) 53°
d) 90°

1 Answer

2 votes

Final answer:

The problem requires solving for angle A in a triangle with specific side lengths and an angle given, but lacks sufficient information to determine the exact angle without additional data or assumptions.

Step-by-step explanation:

The student is asking for help in solving for angle A in a triangle where angle C is 47°, and sides a and b are given with lengths 8 and 5, respectively. This appears to be a problem related to triangles, possibly requiring the use of the Law of Sines or Law of Cosines. However, without additional information such as whether the triangle is right-angled, or the relationship between the sides and angles (i.e., which angle is opposite which side), we cannot provide a definitive solution to the problem as presented.

It's important to note that if this were a right-angled triangle and angle C is the right angle, then angle A would be easily found by subtracting angle C from 90°, as the sum of angles in a triangle equals 180°. Nevertheless, since the type of triangle isn't specified and the sum of the given angle C (47°) and the two remaining angles must be 180°, we can only deduce that angle A must be less than 133° (180° - 47°).

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