Question

Find the value of x to the nearest tenth.

Answer 1

x = 14.6 (nearest tenth)

Step-by-step explanation:

Use the cosine trig ratio:

`\mathsf{\cos(\theta)=(A)/(H)}`

where:

• 
  `\theta` is the angle
• A is the side adjacent the angle
• H is the hypotenuse

Given:

• 
  `\theta` = 31°
• A = x
• H = 17

`\implies \mathsf{\cos(31)=(x)/(17)}`

`\implies \mathsf{x=17\cos(31)}`

`\implies \mathsf{x=14.6 \ (nearest \ tenth)}`

Answer 2

x = 14.57

Step-by-step explanation:

• adjacent : x

• hypotenuse : 17

• angle : 31°

`\sf cos(x)= (adjacent)/(hypotensue)`

`\hookrightarrow \sf cos(31)= (x)/(17)`

`\hookrightarrow \sf 17*cos(31)= x`

`\hookrightarrow \sf x = 14.57`