find wy. write your answer as an integer or as a decimal rounded to the nearest tenth. wy =

Explanation:

Step1: Identify trigonometric - ratio

In right - triangle (XYW) with right - angle at (Y), we know the side (XY = 4) and (\angle X=51^{\circ}), and we want to find (WY). We use the tangent function since (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}), where (\theta = \angle X), the opposite side to (\angle X) is (WY) and the adjacent side is (XY). (\tan(X)=\frac{WY}{XY})

Step2: Substitute values and solve

We know that (X = 51^{\circ}) and (XY = 4). So (\tan(51^{\circ})=\frac{WY}{4}). Since (\tan(51^{\circ})\approx1.2349), then (WY = 4\times\tan(51^{\circ})). (WY=4\times1.2349 = 4.9396\approx4.9)

Answer:

(4.9)