Answer:
In simplified form, sin D is;
4/5
Step-by-step explanation:
The given figure and dimension parameters in the question are;
Triangle ΔDEF is a right triangle
The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20
The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25
The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15
By trigonometric ratios, we have;
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]
∴ In simplified form, sin(D) = 4/5.
