Question

Given that x= 7.4 m and θ = 23°, work out AC rounded to 3 SF.

Answer 1

Hey there!

`\overline{AB} = 7.4m`

`\overline{ACB} = 23°`

`Sin(ACB) = \frac{\overline{AB}}{\overline{AC}}`

`Sin(23°) = \frac{7.4}{\overline{AC}}`

`\overline{AC}=18.939m`

Answer 2

18.939

Explanation:

Use SOH CAH TOA to find sin(23) = 7.4/x. Convert it to x(sin23) = 7.4. Divide both sides by sin23 to get x=18.939