Question

in triangle qrs, what is the value of tan y? note: figure not drawn to scale. a. 7/9 b. 9/7 c. 7/c d. c/9

Explanation:

Step1: Recall tangent formula

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

Step2: Calculate tangent value

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

Answer:

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