1. In ABC, C is a right angle and BC = 11. If B = 30°, find AC. (1 point)

PLEASE HELP I HAVE ONE DAY TO COMPLETE THE CONNECTION PRECALCULUS B UNIT 8: SEMESTER EXAM! I would do ANYTHING PLEASE?!

1 In ABC C is a right angle and BC 11 If B 30 find AC 1 point PLEASE HELP I HAVE ONE DAY TO COMPLETE THE CONNECTION PRECALCULUS B UNIT 8 SEMESTER EXAM I would d class=

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Answer:

[tex]AC=\frac{11\sqrt{3}}{3}[/tex]

Step-by-step explanation:

Given that triangle ABC is a right angle triangle. Where angle C is a right angle. Also we have been given that BC = 11, B = 30°. Now we need to find the value of AC.

Apply formula:

[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]

[tex]\tan\left(B\right)=\frac{AC}{BC}[/tex]

[tex]\tan\left(30^o\right)=\frac{AC}{11}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{AC}{11}[/tex]

[tex]\frac{11}{\sqrt{3}}=AC[/tex]

[tex]AC=\frac{11}{\sqrt{3}}[/tex]

or

[tex]AC=\frac{11}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}[/tex]

or

[tex]AC=\frac{11\sqrt{3}}{3}[/tex]

Hence final answer is [tex]AC=\frac{11\sqrt{3}}{3}[/tex].

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The answer is the first one (A)
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