Question

question 13 (5 points) which of the following is a correct tangent ratio for the figure? a) tan(11°) = 39/15 b) tan(11°) = 15/39 c) tan(39°) = 15/11 d) tan(39°) = 11/15

Explanation:

Step1: Recall tangent - ratio formula

In a right - triangle, for an acute angle $\theta$, $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides for the given angle

For the $39^{\circ}$ angle in the given right - triangle, the side opposite to the $39^{\circ}$ angle has length $11$ and the side adjacent to the $39^{\circ}$ angle has length $15$. So, $\tan(39^{\circ})=\frac{11}{15}$.

Answer:

D. $\tan(39^{\circ})=\frac{11}{15}$