Question

I need help solving this right triangle, please!​

Answer 1

∠B = 36.87°

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°

Answer 2

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