Answer: [tex]35.68^{\circ}[/tex]
Step-by-step explanation:
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse.
In the given right triangle , the length of hypotenuse = 12 units
The length of the side opposite to y°= 7 units
The by using trigonometric ratios, we have
[tex]\sin y^{\circ}=\dfrac{7}{12}\\\\\Rightarrow\ \sin y^{\circ}=0.5833\\\\\Rightarrow\ y^{\circ}=sin^{-1}(0.5833)\\\\\Rightarrow\ y^{\circ}=35.68298338\approx35.68^{\circ}\text{[ Using arcsin calculator]}[/tex]
Hence, the measure of angle y = [tex]35.68^{\circ}[/tex]
