Answer:
- B = 65°
- AB = 37.859
- AC = 34.312
Explanation:
The given side is opposite the given acute angle in this right triangle, so the applicable relation is ...
Sin(25°) = CB/AB
Solving for AB, we get ...
AB = CB/sin(25°) ≈ 37.859
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The relation involving the other leg of the triangle is ...
Tan(25°) = CB/AC
Solving for AC, we get ...
AC = CB/tan(25°) ≈ 34.312
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Of course, the missing angle is the complement of angle A, so is 90-25 = 65 degrees.