Question

Homework Problem I Need help

Answer 1

Answer: 45 degrees

Step-by-step explanation:

Answer 2

We know that :

$\bigstar \ \ \boxed{\sf{sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}$

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

$\sf{\implies sin\theta = \dfrac{15}{17}}$