Given:
Angle =44 degrees, the hypotenuse side =17, and opposite side = y.
Recall the formula for the sine
[tex]\sin \theta=\frac{Opposite\text{ side }}{\text{Hypotenuse}}[/tex][tex]\text{ Substitute opposite side =y, hypotenuse =17 and }\theta=44^o,\text{ we get}[/tex][tex]\sin 44^o=\frac{y}{17}[/tex]
[tex]17\times\sin 44^o=y[/tex][tex]\text{ Use }\sin 44^o=0.6947.[/tex][tex]y=0.6947\times17=11.8099[/tex]
Round off, we get
[tex]y=11.8[/tex]
The value of y is 11.8 units.
