Question

question
in \\( \delta v w x \\), the measure of \\( \angle x = 90 ^ { \circ }, v x = 45, w v = 53 \\), and \\( x w = 28 \\). what is the value of the tangent of \\( \angle v \\) to the nearest hundredth?
answer attempt 1 out of 2

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle V\), the side opposite to \(\angle V\) is \(XW\) and the side adjacent to \(\angle V\) is \(VX\).

Step2: Substitute the values

We know that \(XW = 28\) and \(VX=45\). So, \(\tan V=\frac{XW}{VX}\).
Substituting the values, we get \(\tan V=\frac{28}{45}\approx0.62\)

Answer:

\(0.62\)