the equation $cos^{-1}(\frac{3.4}{10}) = x$ can be used to determine the measure of angle bac. what is the…

the equation $cos^{-1}(\frac{3.4}{10}) = x$ can be used to determine the measure of angle bac. what is the degree measure of angle bac? round to the nearest whole degree. 19° 20° 70° 71°

the equation $cos^{-1}(\frac{3.4}{10}) = x$ can be used to determine the measure of angle bac. what is the degree measure of angle bac? round to the nearest whole degree. 19° 20° 70° 71°

Answer

Explanation:

Step1: Recall inverse - cosine operation

We know that if $\cos^{-1}(y)=x$, then $x$ is the angle whose cosine is $y$. Here $y = \frac{3.4}{10}=0.34$.

Step2: Calculate the angle in degrees

Using a calculator, we find $x=\cos^{-1}(0.34)$. Make sure the calculator is in degree - mode. $x=\cos^{-1}(0.34)\approx70.12^{\circ}$.

Step3: Round to the nearest whole degree

Rounding $70.12^{\circ}$ to the nearest whole degree gives $70^{\circ}$.

Answer:

$70^{\circ}$