Question

If a =
`3 √(3)`in the right triangle below. what is the value of b?

Answer 1

To find b, we can use the tangent function, which is equivalent to the ratio between the opposite side (a) and the adjacent (b).

`\begin{gathered} \tan 30=(a)/(b) \\ \frac{1}{\sqrt[]{3}}=\frac{3\sqrt[]{3}}{b} \\ b=3\sqrt[]{3}\cdot\sqrt[]{3} \\ b=3\cdot3 \\ b=9 \end{gathered}`

Hence, the value of b is 9.