Question

Find the value of x, rounded to the nearest tenth

Answer 1

B

Explanation:

Use the law of sines to create a proportion.

`(18)/(sin(90))=(x)/(sin(20))`

Solve for
`x`.

`x=6.2`

Answer 2

`x=6.2`

Explanation:

Given triangle is right triangle so we can use trigonometric ratios to find the value of x.

`\sin\left(\theta\right)=(opposite)/(hypotenuse)`

`\sin\left(20^o\right)=(x)/(18)`

`\sin\left(20^o\right)(18)=x`

`(0.34202014332566873304409961468226)(18)=x`

`6.1563625798620371947937930642807=x`

`x=6.1563625798620371947937930642807`

`x=6.2`

Hence final answer is
`x=6.2`