Answer:
Step-by-step explanation:
Hypotenuse: This the longest side of right angle triangle and it is opposite to 90°
[tex]1) Sin \ P = \dfrac{Oppossite \ side \ of \ \angle P}{hypotenuse}\\\\ =\dfrac{4\sqrt{10}}{14}[/tex]
[tex]Cos \ P =\dfrac{adjacent \ side \ of \angle P}{hypotenuse}\\=\dfrac{6}{14}[/tex]
[tex]7)\sf Cos \ X = \dfrac{adjacent \ side \ of \angle X}{hypotenuse}\\\\Cos \ X =\dfrac{8}{18}\\\\Cos \ X = 0.4\\\\X = Cos^{-1} \ 0.4[/tex]
X = 66°
8) Here, opposite side is given and we have to find hypotenuse. So, use Sin.
[tex]Sin \ 65 =\dfrac{10}{x}\\\\0.9 *x = 10\\\\x =\dfrac{10}{0.9}[/tex]
x = 11.1
10) Here, opposite side is given and we have to find hypotenuse. So, use Sin to find x
[tex]Sin \ X =\dfrac{6}{9}\\\\Sin \ X = 0.67\\\\x= Sin^{-1} \ 0.97[/tex]
x = 42°
