JaharaX146585 JaharaX146585
  • 30-10-2022
  • Mathematics
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RMC is a 30°-60°-90° triangle and RM = 22 in. Find RC.

RMC is a 306090 triangle and RM 22 in Find RC class=

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ZoiM533271 ZoiM533271
  • 30-10-2022

We can solve this with the trigonometric function cosine

[tex]\cos \theta=\frac{al}{hy}[/tex]

where al is the length of the adjacent leg (side next to angle θ) and hy is the length of the hypotenuse.

By taking θ as the angle whose measure equals 60°, we replace RC for al and 22 for hy, then we get:

[tex]\cos (60=\frac{RC}{22}{}[/tex]

By multiplying both sides by 22, we get:

[tex]\begin{gathered} 22\times\cos 60=RC \\ RC=22\cos 60=11 \end{gathered}[/tex]

Then, RC equals 11

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