We know that :
[tex]\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]
From the figure, We can notice that the side which is opposite to θ is 15 units
⇒ Opposite side = 15
We need to find the Length of Hypotenuse using Pythagorean theorem which is :
⊕ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (Hypotenuse)² = (8)² + (15)²
⇒ (Hypotenuse)² = 64 + 225
⇒ (Hypotenuse)² = 289
⇒ Hypotenuse = Square root of 289
⇒ Hypotenuse = 17
[tex]\sf{\implies sin\theta = \dfrac{15}{17}}[/tex]
