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

Sagot :

In the given right angled triangle,

AC=b=290 cm.

Using trigonometric property in the given triangle,

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

Therefore, the value of a is 167 cm.

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