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what is the value of Sin D?
(24)/(7) or (7)/(24) or (24)/(25) or (7)/(25)

what is the value of Sin D?(24)/(7) or (7)/(24) or (24)/(25) or (7)/(25)-example-1

1 Answer

6 votes

Answer:

Sin D = 7 / 25

Explanation:

The value of sin D is given by


\sin D=\frac{\text{opposite}}{\text{hypotenuse}}
\sin D=(EF)/(25)

but we need to find the length EF.

Now the Pythagoras' theorem says


EF^2+24^2=25^2

Solving for EF gives


EF^2=25^2-24^2
EF^2=49

taking the square root of both sides gives


EF=\sqrt[]{49}
EF=7

With the value of EF in hand, we now have


\sin D=(EF)/(25)=(7)/(25)
\boxed{\sin D=(7)/(25)\text{.}}

which is our answer!

User Giovanni Colitti
by
8.8k points

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