Question

find the sine of ∠w. simplify your answer and write it as a proper fraction, improper fraction, or whole number. sin (w) =

Explanation:

Step1: Calculate hypotenuse $XW$

Use Pythagorean theorem:
$$XW = \sqrt{XY^2 + WY^2} = \sqrt{15^2 + 8^2} = \sqrt{225 + 64} = \sqrt{289} = 17$$

Step2: Identify sine components for $\angle W$

Sine = opposite/hypotenuse. Opposite side to $\angle W$ is $XY=15$, hypotenuse $XW=17$.
$$\sin(W) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{15}{17}$$

Answer:

$\frac{15}{17}$