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MArishka [77]
3 years ago
6

Please help!!!! Sine and cosine ratios

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer: 40.9

Step-by-step explanation:

Given

angle given is 23^{\circ}

RC=16

Using trigonometry

\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

Using cosine formula

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

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