The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
[tex]Cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex]
For the given attachment, the trigonometric ratio becomes,
[tex]Cos[/tex] ∅ [tex]= \frac{XY}{XW}[/tex].....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
[tex]Cos[/tex] ∅ [tex]= \frac{28}{53}[/tex]
[tex]Cos[/tex] ∅ = 0.5283
∅ = [tex]cos^{-1}[/tex] (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.
Answer:
Step-by-step explanation:
0.53 is the answer to the nearest hundredth.
