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11 votes
11 votes
Solve the right triangle.

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

Solve the right triangle. Round your answers to the nearest tenth. B с 24 39° b-example-1
User Suluke
by
2.7k points

1 Answer

14 votes
14 votes

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

User Newbee
by
2.8k points