Question

In ADEF, the measure of ZF=90°, ED = 65, FE = 56, and DF = 33. What is the valueof the sine of ZD to the nearest hundredth?

Answer 1

sin ∠D = 0.86

Step-by-step explanation

The sine of an angle of a right triangle is:

`\sin \theta=\frac{\text{ opposite side}}{\text{ hypotenuse}}`

This is triangle DEF:

So the sine of angle D is side EF divided by side DE:

`\begin{gathered} \sin \angle D=(EF)/(DE) \\ \sin \angle D=(56)/(65) \\ \sin \angle D\approx0.86 \end{gathered}`