Question

Sovle for x round to the nearest tenth 19 32 g h

Answer 1

The figure below is a right-angled triangle. To find angle x, we will apply the trig-ratio, that is SOHCAHTOA

Which is

`\begin{gathered} \text{SOH sin}\theta=\frac{opposite}{\text{hypotenuse}} \\ \text{CAH cos}\theta=\frac{adjacent}{\text{hypotenuse}} \\ \text{TOA tan}\theta=\frac{opposite\text{ }}{\text{adjacent }} \end{gathered}`

But we will make use of SOH, we have

`\begin{gathered} \text{ }\sin x=\frac{opposite}{\text{hypotenuse}} \\ \text{ }\sin x=(19)/(32) \\ \sin x=0.59375 \\ x=\sin ^(-1)0.59375 \\ x=36.42357 \end{gathered}`

Hence, the answer is 36.4 to the nearest tenth