the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?

∠X = 58.11°

Step-by-step explanation:

The given is,

In ΔWXY, ∠Y=90°

XW = 53

YX = 28

WY = 45

Step:1

            Given triangle XWY is right angled triangle.

            Trigonometric ratio's,

                             ∅ =      

            For the given attachment, the trigonometric ratio becomes,

                           cos   ∅ = .....................................(1)

            Let, ∠X = ∅

            Where, XY = 28

                        XW =  53

            Equation (1) becomes,

                              cos  ∅  =

                                 ∅ = 0.5283

                                       ∅ =  (0.5283)

                                       ∅ = 58.109°

Result:

         The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

the correct answer is d

hope this

by definition, an arc subtended by a central angle of some given measure has the same measure. so .