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What is the length of AC? Round to the nearest tenth.

What is the length of AC? Round to the nearest tenth.-example-1

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\\ \rm\Rrightarrow tan30=(5)/(b)


\\ \rm\Rrightarrow 1/√(3)=5/b


\\ \rm\Rrightarrow b=5√(3)


\\ \rm\Rrightarrow b=8.66=8.7cm

  • AC is 8.7cm
User Nikul Panchal
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4 votes

Answer:

AC = 8.7 cm (nearest tenth)

Explanation:

Given:


  • \tan(30)=(5)/(b)
  • b = AC

To find AC:


\implies \tan(30)=(5)/(b)


\implies b=(5)/(\tan(30))


\implies b=5√(3)

⇒ b = 8.7 (nearest tenth)

Therefore, the length of AC is 8.7 cm (nearest tenth)

User Tremmors
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5.2k points