find m∠v.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠v = □°
find m∠v.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠v = □°
Answer
Explanation:
Step1: Identify the trigonometric ratio
In right - triangle $VWU$, we know the adjacent side to $\angle V$ is $VW = 3$ and the hypotenuse is $VU=7$. We use the cosine function, $\cos(V)=\frac{adjacent}{hypotenuse}$. So, $\cos(V)=\frac{3}{7}$.
Step2: Find the measure of the angle
To find $m\angle V$, we take the inverse cosine of $\frac{3}{7}$. That is $V=\cos^{- 1}(\frac{3}{7})$. Using a calculator, $V=\cos^{-1}(\frac{3}{7})\approx64.6^{\circ}$.
Answer:
$64.6$