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

In ADEF, what is sin D, in simplified form?-example-1

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Answer:

In simplified form, sin D is;

4/5

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 = (Opposite \ leg \ length)/(Hypotenuse \ length)

Therefore, we have;


sin\angle D = (Opposite \ leg \ length)/(Hypotenuse \ length) = (20)/(25) = (4)/(5)

∴ In simplified form, sin(D) = 4/5.

User Rabudde
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