Question

find \\(\sin(\beta)\\) in the triangle.
choose 1 answer:
a \\(\dfrac{15}{8}\\)
\\(\dfrac{8}{17}\\)
c \\(\dfrac{8}{15}\\)
\\(\dfrac{15}{17}\\)

Explanation:

Step1: Recall sine definition for right triangles

For an acute angle in a right triangle, $\sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for angle $\beta$

Opposite side to $\beta$: $15$, Hypotenuse: $17$

Step3: Calculate $\sin(\beta)$

$\sin(\beta)=\frac{15}{17}$

Answer:

D. $\frac{15}{17}$