Question

HIII! Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!

Answer 1

Answer:

$\displaystyle \sin(D)=\frac{28}{53}\approx0.5283$

$\displaystyle \sin(E)=\frac{45}{53}\approx0.8491$

Step-by-step explanation:

Remember that sine is the ratio of the opposite side to its hypotenuse:

$\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}$

For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:

$\displaystyle \sin(D)=\frac{28}{53}$

Or, in decimal form:

$\sin(D)\approx 0.5283$

Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:

$\displaystyle \sin(E)=\frac{45}{53}$

And using a calculator:

$\sin(E)\approx0.8491$