Respuesta :

We know the opposite and adjacent sides of angle B, so we can use the inverse tangent to solve for its value.
tan(B)^-1 = 3/4
B = 64.4 degrees
ricchad

Answer:

∠B = 36.87°

Step-by-step explanation:

since its a right triangle, use Pythagorean to solve for c

c² = 3² + 4²

c = √25

c = 5

now use law of sine

sinB = sinC

  b         c

sin(B) = sin(90)

  3            5

5*sin(B) = 3*sin(90)

sin(B) = 3*sin(90)

                  5

∠B = sin⁻¹(0.60)

∠B = 36.87°

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