Answer: The value of y is 6.69.
Step-by-step explanation:
According to trigonometry , in a right triangle
[tex]\sin x=\dfrac{\text{Side opposite to angle }x}{\text{Hypotenuse}}[/tex]
As per given , angle = [tex]26.5^{\circ}[/tex]
Hypotenuse = 15 ft
y= Side opposite to [tex]26.5^{\circ}[/tex]
Then,
[tex]\sin 26.5^{\circ}=\dfrac{y}{15}\\\\\Rightarrow\ 0.44619781=\dfrac{y}{15}\\\\\Rightarrow\ y=0.44619781\times15=6.69296715\approx6.69\text{ ft.}[/tex]
Hence, the value of y is 6.69 ft.
