find m∠c. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠c = °
find m∠c. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠c = °
Answer
Explanation:
Step1: Identify the trigonometric ratio
We know that in right - triangle $DEC$, $\cos C=\frac{adjacent}{hypotenuse}$. The adjacent side to $\angle C$ is $EC = 6$ and the hypotenuse is $DC=9$.
Step2: Calculate the cosine of $\angle C$
$\cos C=\frac{EC}{DC}=\frac{6}{9}=\frac{2}{3}$
Step3: Find the measure of $\angle C$
$C=\cos^{- 1}(\frac{2}{3})$. Using a calculator, $C\approx48.2^{\circ}$
Answer:
$48.2$