Question

5 mark for review note: figure not drawn to scale. in the triangle shown, what is the value of sin y°? a $\frac{5}{59}$ b $\frac{54}{59}$ c $\frac{59}{54}$ d $\frac{59}{5}$

Explanation:

Step1: Recall sine - definition

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

Step2: Identify opposite and hypotenuse for angle $y$

For angle $y$, the side opposite to it has length $5$ and the hypotenuse has length $59$.

Step3: Calculate $\sin y$

$\sin y=\frac{5}{59}$.

Answer:

A. $\frac{5}{59}$