Question

note: figure not drawn to scale.
in the triangle shown, what is the value of \\( \sin y ^ { \circ } \\) ?
a \\( \frac { 5 } { 6 0 } \\)
b \\( \frac { 6 4 } { 6 0 } \\)
c \\( \frac { 6 9 } { 6 4 } \\)
d \\( \frac { 6 9 } { 5 } \\)

Explanation:

Step1: Recall the definition of sine in a right - triangle

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For the angle \(y^{\circ}\), the side opposite to \(y^{\circ}\) has length \(5\), and the hypotenuse has length \(69\).

Answer:

A. \(\frac{5}{69}\)