Question

in triangle qrs, what is the value of tan y? note: figure not drawn to scale a. $\frac{7}{9}$ b. $\frac{9}{7}$ c. $\frac{1}{7}$ d. $\frac{1}{9}$

Explanation:

Step1: Recall tangent formula

The formula for the tangent of an angle in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. In right - triangle $QRS$, for angle $y$, the side opposite to angle $y$ has length $9$ and the side adjacent to angle $y$ has length $7$.

Step2: Calculate tangent value

So, $\tan y=\frac{9}{7}$.

Answer:

a. $\frac{9}{7}$