Given:
The figure of a right triangle. [tex]PO=12,m\angle O=y^\circ[/tex] and perpendicular = 12.
To find:
The measure of angle y.
Solution:
In a right angle triangle,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right angle triangle,
[tex]\sin y^\circ=\dfrac{7}{12}[/tex]
[tex]y^\circ=\sin ^{-1}\dfrac{7}{12}[/tex]
[tex]y^\circ=35.685335^\circ[/tex]
[tex]y^\circ\approx 35.69^\circ[/tex]
Therefore, the measure of angle y is [tex]y^\circ =35.69^\circ[/tex].
