Question

Find the value of x to the nearest tenth.

Answer 1

x = 57.8°

Step-by-step explanation:

• opposite length : 11

• hypotenuse length : 13

`\sf sin(x)= (opposite)/(hypotensue)`

`\hookrightarrow \sf sin(x) = (11)/(13)`

`\hookrightarrow \sf x = sin^(-1)((11)/(13) )`

`\hookrightarrow \sf x = 57.8`

Answer 2

57.8° (nearest tenth)

Step-by-step explanation:

Use the sine trig ratio:

`\mathsf{\sin(\theta)=(O)/(H)}`

where:

• 
  `\theta` is the angle
• O is the side opposite the angle
• H is the hypotenuse

Given:

• 
  `\mathsf{\theta=x}`
• O = 11
• H = 13

`\implies \mathsf{\sin(x)=(11)/(13)}`

`\implies \mathsf{x=\arcsin(11)/(13)}`

`\implies \mathsf{x=57.8 \textdegree \ (nearest \ tenth)}`