Question

Please help!!!! Sine and cosine ratios

Answer 1

Answer: 40.9

Explanation:

Given

angle given is
`23^(\circ)`

`RC=16`

Using trigonometry

`\Rightarrow \sin 23^(\circ)=(RC)/(PC)\\\\\Rightarrow \sin 23^(\circ)=(16)/(X)\\\\\Rightarrow X=(16)/(\sin 23^(\circ))\\\\\Rightarrow X=40.948\approx 40.9`

Using cosine formula

`\Rightarrow \cos 23^(\circ)=(PR)/(X)\\\\\Rightarrow PR=40.9* \cos 23^(\circ)\\\Rightarrow PR=37.69\approx 37.7`