Question

In ADEF, what is sin D, in simplified form?

Answer 1

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 $\overline{EF}$ which is opposite side to the reference angle = 20

The length of segment $\overline{ED}$ which is the hypotenuse side of the right triangle ΔDEF = 25

The length of segment $\overline{DF}$ which is adjacent side to the reference angle = 15

By trigonometric ratios, we have;

$sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}$

Therefore, we have;

$sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}$

∴ In simplified form, sin(D) = 4/5.