rontezmalcom36 rontezmalcom36
  • 21-07-2019
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 21-07-2019

Answer:

  • 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

__

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

__

Of course, the missing angle is the complement of angle A, so is 90-25 = 65 degrees.

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