find m∠u.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠u = □°
find m∠u.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠u = □°
Answer
Explanation:
Step1: Recall trigonometric ratio
We use the sine - inverse function. In right - triangle (VTU), (\sin U=\frac{opposite}{hypotenuse}). The side opposite to (\angle U) is (VT) and the hypotenuse is (VU).
Step2: Identify side lengths
We know that the side opposite to (\angle U) (i.e., (VT)) has length (3.2) and the hypotenuse (VU = 4.1). So, (\sin U=\frac{3.2}{4.1}).
Step3: Calculate the angle
(U=\sin^{- 1}(\frac{3.2}{4.1})). Using a calculator, (\sin^{-1}(\frac{3.2}{4.1})\approx51.8^{\circ}).
Answer:
(51.8)