find m∠v. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠v = °
find m∠v. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠v = °
Answer
Explanation:
Step1: Identify trig - ratio
In right - triangle $UTV$ with right - angle at $T$, we use the sine function. $\sin V=\frac{opposite}{hypotenuse}$. The side opposite $\angle V$ is $UT = 9$ and the hypotenuse is $UV = 10$.
Step2: Calculate sine value
$\sin V=\frac{UT}{UV}=\frac{9}{10}=0.9$.
Step3: Find the angle
We know that if $\sin V = 0.9$, then $V=\sin^{- 1}(0.9)$. Using a calculator, $V=\sin^{-1}(0.9)\approx64.2^{\circ}$.
Answer:
$64.2$