find bc. write your answer as an integer or as a decimal rounded to the nearest tenth. bc =

Explanation:

Step1: Identify trigonometric relation

In right - triangle $ABC$ with right - angle at $A$, we use the cosine function. $\cos B=\frac{AB}{BC}$. First, we need to find $\cos(27^{\circ})$.

Step2: Apply cosine formula

We know that $\cos B=\frac{AC}{BC}$. Given $\angle B = 27^{\circ}$ and $AC = 1$. Since $\cos B=\frac{AC}{BC}$, then $BC=\frac{AC}{\cos B}$. We know that $\cos(27^{\circ})\approx0.891$. Substituting $AC = 1$ into the formula $BC=\frac{AC}{\cos B}$, we get $BC=\frac{1}{\cos(27^{\circ})}$.

Step3: Calculate the value of $BC$

$BC=\frac{1}{\cos(27^{\circ})}\approx\frac{1}{0.891}\approx1.1$

Answer:

$1.1$