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What is the length of AC¯¯¯¯¯

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Round only your final answer to the nearest whole number.

What is the length of AC Enter your answer in the box Round only your final answer to the nearest whole number class=

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carlosego

Answer: AC=12 cm

Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

[tex]b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12[/tex]

kudzordzifrancis
ANSWER
[tex]AC=12cm[/tex]

EXPLANATION

We use the sine rule to obtain,

[tex] \frac{AC}{ \sin(71.6 \degree) } = \frac{13}{ \sin(85.2 \degree) } [/tex]

We solve for AC to obtain,

[tex]AC= \frac{13}{ \sin(85.2 \degree) } \times \sin(71.6 \degree)[/tex]

We simplify and round to the nearest whole number to obtain,

[tex]AC= 12cm[/tex]

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