Please help!!!! Sine and cosine ratios

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06-05-2021
Mathematics

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Please help!!!! Sine and cosine ratios

Sagot :

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nuuk nuuk · Answer 1 · 2021-05-10T20:37:00-04:00

Answer: 40.9

Step-by-step explanation:

Given

angle given is [tex]23^{\circ}[/tex]

[tex]RC=16[/tex]

Using trigonometry

[tex]\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9[/tex]

Using cosine formula

[tex]\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7[/tex]

Sagot :

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