Respuesta :

Answer:

A. 45.7

Step-by-step explanation:

Side a = 8

Side b = 7.8

Side c = 11.17318

Angle ∠A = 45.725° = 45°43'31" = 0.79806 rad

Angle ∠B = 44.275° = 44°16'29" = 0.77274 rad

Angle ∠C = 90° = 1.5708 rad = π/2

Answer:  45.7 degrees (choice A)

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Explanation:

Apply the tangent ratio and inverse tangent function (aka arctangent) to get the following

tan(angle) = opposite/adjacent

tan(x) = 8/7.8

x = arctan(8/7.8)

x = 45.7252242990592

x = 45.7

Be sure that your calculator is in degree mode.