ColeenJ18538 ColeenJ18538
  • 30-10-2022
  • Mathematics
contestada

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 306090 triangle and AR has a length of 24 centimeters class=

Respuesta :

AndoniI516959 AndoniI516959
  • 30-10-2022
Answer:

The length of AY is:

[tex]24\sqrt[]{3}cm[/tex]

Explanation:

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

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

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