2 Answers

Paul Karam · Answer 1 · 2022-07-06T22:30:36+0000

We know that :

$\bigstar \ \ \boxed{\sf{sin\theta = (Opposite \ Side)/(Hypotenuse)}}$

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

$\sf{\implies sin\theta = (15)/(17)}$

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