Question

find ( mangle y ).
write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle y=square^{circ} )

Explanation:

Step1: Use the sine function

In a right - triangle \(WXY\) with \(\angle X = 90^{\circ}\), \(\sin Y=\frac{opposite}{hypotenuse}\). Here, the side opposite to \(\angle W\) is \(3\) and the hypotenuse is \(8\). So, \(\sin Y=\frac{WX}{WY}\).

Step2: Calculate the angle

We know that \(\sin Y=\frac{3}{8}=0.375\). Then, \(Y = \sin^{- 1}(0.375)\). Using a calculator, \(Y\approx22.0^{\circ}\)

Answer:

\(22.0\)