Question

in $\triangle vwx$, the measure of $\angle x = 90^\circ$, $vx = 45$, $wv = 53$, and $xw = 28$. what ratio represents the tangent of $\angle w$?
answer attempt 1 out of 3

Explanation:

Step1: Recall tangent definition

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

Step2: Identify sides for $\angle W$

In $\triangle WXZ$, $\angle X=90^\circ$. For $\angle W$, opposite side is $XZ=45$, adjacent side is $XW=28$.

Step3: Compute tangent ratio

$\tan(\angle W) = \frac{\text{opposite}}{\text{adjacent}} = \frac{XZ}{XW}$

Answer:

$\frac{45}{28}$