find m∠y.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠y = □°
find m∠y.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠y = □°
Answer
Explanation:
Step1: Identify the trigonometric ratio
In right - triangle $WXY$ with right - angle at $W$, we know the opposite side ($WX = 4$) to $\angle Y$ and the hypotenuse ($XY=6.7$). We use the sine ratio $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. So, $\sin Y=\frac{WX}{XY}$.
Step2: Substitute the values
Substitute $WX = 4$ and $XY = 6.7$ into the sine formula: $\sin Y=\frac{4}{6.7}\approx0.597$.
Step3: Find the angle
To find $\angle Y$, we take the inverse - sine of $0.597$. So, $Y=\sin^{- 1}(0.597)$. Using a calculator, $Y\approx36.7^{\circ}$.
Answer:
$36.7$