Find the missing angle and side measures of abc, given that A=25, C=90, and CB=16

B = 65° AB = 37.859 AC = 34.312

Step-by-step 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.