Use Law of sines to solve for this problem. Round your answer to the nearest TENTH.

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02-11-2022
Mathematics

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Use Law of sines to solve for this problem. Round your answer to the nearest TENTH.

Sagot :

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MishikaG75523idn MishikaG75523idn · Answer 1 · 2022-11-02T23:36:24-04:00

We will have the following:

AB:

[tex]\begin{gathered} \frac{15}{sin(70)}=\frac{AB}{sin(45)}\Rightarrow AB=\frac{15sin(45)}{sin(70)} \\ \\ \Rightarrow AB=11.28730979...\Rightarrow AB\approx11.3 \end{gathered}[/tex]

So, the measure of segment AB is approximately 11.3 units.

BC:

[tex]\begin{gathered} \frac{BC}{sin(65)}=\frac{15}{sin(70)}\Rightarrow BC=\frac{15sin(65)}{sin(70)} \\ \\ \Rightarrow BC=14.46708903...\Rightarrow BC\approx14.5 \end{gathered}[/tex]

So, the measure of segment BC is approximately 14.5 units.

Sagot :

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