Question

In ΔDEF, the measure of ∠F=90°, FE = 39, ED = 89, and DF = 80. What ratio represents the sine of ∠D?

Answer 1

Answer:Sin of ∠D = 39/89

Step-by-step explanation:

The diagram of the right angle DEF is shown in the attached photo.

To determine the ratio representing the sine of ∠D, we would apply the sine trigonometric ratio. It is expressed as

Sin# = opposite side/hypotenuse

Looking at the triangle

Opposite side = 39

Hypotenuse = 89

# = ∠D

Therefore

Sin of ∠D = 39/89

Answer 2

Answer:

39/89

Step-by-step explanation:

The sine of angle D would be opp/hyp from SOH CAH TOA. The opp side of angle D is 39, and the hypotenuse is 89 so the ratio would be 39/89