Question

Solve the right triangle.

Round your answers to the nearest tenth.
B
с
24
39°
b

Answer 1

Explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite of the angles.

so, we have here now (sin(90) = 1)

b/sin(51) = c/sin(90) = 24/sin(39)

c = 24/sin(39) = 38.1363775... ≈ 38.1

b = 24×sin (51)/sin(38) = 29.63753176... ≈ 29.6