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Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of 24 centimeters.

Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of 24 centimeters.
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Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of 24 centimeters.

Determine the length of AY if ARAY is a 30°-60°-90° triangle and AR has a length of-example-1
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User J Grif
by
8.3k points

1 Answer

2 votes
Answer:

The length of AY is:


24\sqrt[]{3}cm

Step-by-step explanation:

Given that AR is 24 centimeters, to find the length of AY, we use:


\begin{gathered} \tan 30=(24)/(AY) \\ \\ AY=(24)/(\tan30) \\ \\ =\frac{24}{(\frac{1}{\sqrt[]{3}})}=24\sqrt[]{3}cm \end{gathered}

answered
User Dimitri Merejkowsky
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8.7k points
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