Question

Answers with steps please

Answer 1

Explanation:

Hypotenuse: This the longest side of right angle triangle and it is opposite to 90°

`1) Sin \ P = (Oppossite \ side \ of \ \angle P)/(hypotenuse)\\\\ =(4√(10))/(14)`

`Cos \ P =(adjacent \ side \ of \angle P)/(hypotenuse)\\=(6)/(14)`

`7)\sf Cos \ X = (adjacent \ side \ of \angle X)/(hypotenuse)\\\\Cos \ X =(8)/(18)\\\\Cos \ X = 0.4\\\\X = Cos^(-1) \ 0.4`

X = 66°

8) Here, opposite side is given and we have to find hypotenuse. So, use Sin.

`Sin \ 65 =(10)/(x)\\\\0.9 *x = 10\\\\x =(10)/(0.9)`

x = 11.1

10) Here, opposite side is given and we have to find hypotenuse. So, use Sin to find x

`Sin \ X =(6)/(9)\\\\Sin \ X = 0.67\\\\x= Sin^(-1) \ 0.97`

x = 42°