the equation \\(\\tan(55^{\\circ}) = \\frac{15}{b}\\) can be used to find the length of \\(\\overline{ac}\\)…

the equation \\(\\tan(55^{\\circ}) = \\frac{15}{b}\\) can be used to find the length of \\(\\overline{ac}\\). what is the length of \\(\\overline{ac}\\)? round to the nearest tenth. \\(\\bigcirc\\) 3.0 cm. \\(\\bigcirc\\) 9.8 cm. \\(\\bigcirc\\) 10.5 cm. \\(\\bigcirc\\) 12.8 cm.

the equation \\(\\tan(55^{\\circ}) = \\frac{15}{b}\\) can be used to find the length of \\(\\overline{ac}\\). what is the length of \\(\\overline{ac}\\)? round to the nearest tenth. \\(\\bigcirc\\) 3.0 cm. \\(\\bigcirc\\) 9.8 cm. \\(\\bigcirc\\) 10.5 cm. \\(\\bigcirc\\) 12.8 cm.

Answer

Explanation:

Step1: Rearrange for $b$

$b = \frac{15}{\tan(55^\circ)}$

Step2: Calculate $\tan(55^\circ)$

$\tan(55^\circ) \approx 1.4281$

Step3: Compute $b$

$b \approx \frac{15}{1.4281} \approx 10.5$

Answer:

10.5 cm.