Question

Enter your answer to the nearest tenth x 9 12

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

Let's solve ~

since the given triangle is an right angled triangle we can use Trigonometric ratios here :

`\qquad \sf  \dashrightarrow \: \tan(x) = (9)/(12)`

`\qquad \sf  \dashrightarrow \: \tan(x) = (3)/(4)`

`\qquad \sf  \dashrightarrow \: x= tan { }^( - 1) \bigg( (3)/(4) \bigg)`

`\qquad \sf  \dashrightarrow \:x \approx37 \degree`

Answer 2

x = 36.9°

Given:

opposite side: 9

adjacent side: 12

angle: x

Using tane rule:

`\sf tan(x) = (opposite)/(adjacent)`

Solve:

`\sf tan(x) = (9)/(12)`

`\sf x = tan^(-1)((9)/(12))`

`\sf x = 36.87`

`\sf x = 36.9`