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In triangle ABC, m a = 45 m b =65 and a = 15.05. Use the law of sines to find b. Round your answer to the nearest tenth.

a. 19.3
b. 15.6
c. 25.6
d. 15.0

Respuesta :

minniey
The Law of Sines is the relationship between the sides and angles of non-right (oblique)triangles .  Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
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The value of 'b' is 19.3 as per the law of sines.

What is the angle of sines?

"The law of sines relates the ratios of side lengths of triangles to their respective opposite angles. This ratio remains equal for all three sides and opposite angles."

Given, ΔABC, m ∠a = 45 m ∠b = 65 and a = 15.05.

As per the law of sines, in ΔABC:

[tex]\frac{a}{sin A} = \frac{B}{sin B}[/tex]

⇒ 15.05 / (sin 45°) = B / (sin 65°)

⇒ B = 15.05 × sin 65° / sin 45°

⇒ B = 19.3

Learn more about the law of sines here: https://brainly.com/question/12586965

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