Question

identify the correct angle for the given trigonometric value.
(your answer should be a letter)
tan(\boxed{}) = \frac{15}{8}

Explanation:

Step1: Recall tan definition

In right triangle, $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Check angle at Y

For $\angle Y$: opposite=64, adjacent=120 → $\tan(Y)=\frac{64}{120}=\frac{8}{15}$

Step3: Check angle at X

For $\angle X$: opposite=120, adjacent=64 → $\tan(X)=\frac{120}{64}=\frac{15}{8}$

Answer:

X