Question

find: sin b
the figure is not drawn to scale
answer
\\( \frac { 16 } { 65 } \\)
\\( \frac { 63 } { 16 } \\)
\\( \frac { 63 } { 65 } \\)
\\( \frac { 16 } { 63 } \\)

Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

Step2: Identify the sides relative to angle \(B\)

For angle \(B\), the opposite side is \(16\) and the hypotenuse is \(65\)

Step3: Calculate \(\sin B\)

\(\sin B=\frac{16}{65}\)

Answer:

\(\frac{16}{65}\)