Respuesta :

Answer:

B = 31.6 degrees

Step-by-step explanation:

Here, we want to get the value of the angle marked B

From the diagram, AC faces B and that makes it its opposite side

BC is the adjacent side to B

The trigonometric identity we are to use here that connects the adjacent and the opposite is the tan

The tan is the ratio of the opposite to the adjacent side

Mathematically;

Tan B = AC/BC

Tan B = 14.1/22.9

Tan B = 0.6157

B = arc Tan 0.6157

B = 31.6 degrees

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