Question

the equation tan(55°) = 15/b can be used to find the length of ac. what is the length of ac? round to the nearest tenth. 3.0 cm. 9.8 cm. 10.5 cm. 12.8 cm.

Explanation:

Step1: Isolate the variable b.

Given $\tan(55^{\circ})=\frac{15}{b}$, we can cross - multiply to get $b\times\tan(55^{\circ}) = 15$. Then $b=\frac{15}{\tan(55^{\circ})}$.

Step2: Calculate the value of $\tan(55^{\circ})$ and b.

We know that $\tan(55^{\circ})\approx1.4281$. So $b=\frac{15}{1.4281}\approx10.5$.

Answer:

$10.5$ cm