Question

Please help!!!! Sine and cosine ratios

Answer 1

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

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