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Alexxandr [17]
3 years ago
8

Help solve for b it is for trigonometry ​

Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

b\approx 21.435332

Step-by-step explanation:

The Law of Sines is a property that relates the sides and angles of any triangle. This property states the following:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Where (A), (B), and (C) are the angles of the triangles. The sides (a), (b), and (c) are the sides opposite their respective angles, (side (a) is the opposite angle (<A); side (b) is the opposite angle (<B); and side (c) is the opposite angle (<C)). Substitute the given information into the formula and solve for the unknown:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}

Remove the parts of the equation that are not relevant to the problem,

\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}

\frac{sin(72)}{b}=\frac{sin(53)}{18}

Take the cross product of the proportion,

\frac{sin(72)}{b}=\frac{sin(53)}{18}

18(sin(72))=b(sin(53))

Inverse operations,

18(sin(72))=b(sin(53))

b=\frac{18(sin(72)}{sin(53)}

b\approx 21.435332

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Step-by-step explanation:

Comment

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