find ( mangle q ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n(…
find ( mangle q ).\n\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n( mangle q = square^circ )
Answer
Explanation:
Step1: Identify opposite/adjacent sides
For $\angle Q$, opposite side $PR=4$, adjacent side $QR=5$.
Step2: Use tangent ratio formula
$\tan(\angle Q) = \frac{\text{opposite}}{\text{adjacent}} = \frac{4}{5}$
Step3: Calculate angle via arctangent
$\angle Q = \arctan\left(\frac{4}{5}\right)$ Calculate with calculator: $\arctan(0.8) \approx 38.7^\circ$
Answer:
$38.7$