Question

Find the value of sin G rounded to the nearest hundreth if necessary

Answer 1

sin G = 0.84

Step-by-step explanation:

`\begin{gathered} GF\text{ = }\sqrt[]{35} \\ FE\text{ = }\sqrt[]{86} \\ GE\text{ = 11} \end{gathered}`

We will apply trigonometry ratio SOHCAHTOA:

sin G is sine ratio (SOH)

sin G = opposite/hypotenue

`\begin{gathered} \text{Angle = G} \\ \text{opposite = side opposite the angle G = }\sqrt[]{86} \\ \text{hypotenuse = longest side = 11} \end{gathered}`
`\begin{gathered} \sin \text{ G = }\frac{\sqrt[]{86}}{11} \\ \sin \text{ G = }(9.2736185)/(11) \\ \sin \text{ G = 0.8431} \\ \\ To\text{ the nearest hundredth, } \\ \sin \text{ G = 0.84} \end{gathered}`