Question

BFind the measure of side a.30°ACb= 290 cma =(Round the answer to the nearest whole number as needed.)

Answer 1

In the given right angled triangle,

AC=b=290 cm.

Using trigonometric property in the given triangle,

`\begin{gathered} \tan \theta=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan 30\degree=(a)/(b) \\ a=b\tan 30\degree \\ a=290*\frac{1}{\sqrt[]{3}} \\ a=167\text{ cm} \end{gathered}`

Therefore, the value of a is 167 cm.