Answer :
Final answer:
The sine of angle E in triangle DEF is represented by the ratio of the side opposite to angle E (DF) to the hypotenuse (ED). Given that DF = 13 and ED = 85, the sine of angle E is 13/85.
Explanation:
In ΔDEF, ∠F is a right angle, and hence, ΔDEF is a right triangle. The sine of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, the sine of ∠E would be represented by the ratio DF/ED, because DF is opposite ∠E and ED is the hypotenuse of the triangle.
Given that, DF is 13 and ED is 85, the sine of ∠E would be 13/85.
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