Question

50 POINTS PLUS BRAINILY

Answer 1

53.6° (nearest tenth)

Explanation:

Use tan trig ratio:

`\tan(\theta)=(O)/(A)`

where
`\theta` is the angle, O is the side opposite the angle and A is the side adjacent the angle.

Given:

• 
  `\theta` =
  `x`
• O = 19
• A = 14

`\implies \tan(x)=(19)/(14)`

`\implies x=\arctan\left((19)/(14)\right)`

`\implies x=53.6 \textdegree`

Answer 2

x = 53.6°

using tan rule:

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

`\hookrightarrow \sf tan(x) = (19)/(14)`

`\hookrightarrow \sf x = tan^(-1)((19)/(14))`

`\hookrightarrow \sf x = 53.6`