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Please help!!!! Sine and cosine ratios

Please Help Sine And Cosine Ratios class=

Sagot :

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]

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