Question

Solve the right triangle. Write your answers in simplified, rationalized form. DO NOT ROUND!

Answer 1

base = FG = root 30

perpendicular HG = x

angle = 45 degrees,

we know that

`\text{tan}\theta=(perpendicualr)/(base)`
`\tan 45=\frac{HG}{\sqrt[]{3}}`
`\begin{gathered} 1=\frac{HG}{\sqrt[]{3}} \\ HG=\sqrt[]{3} \end{gathered}`

so, the value of HG = root 3